analysis.normed_space.continuous_linear_map

(last sync)

feat(analysis/normed_space/continuous_linear_map): generalize typeclass assumptions (#19108)

Diff

@@ -35,14 +35,14 @@ open_locale nnreal
 
 variables {𝕜 𝕜₂ E F G : Type*}
 
-variables [normed_field 𝕜] [normed_field 𝕜₂]
 
 /-! # General constructions -/
 
-section seminormed
+section seminormed_add_comm_group
 
+variables [ring 𝕜] [ring 𝕜₂]
 variables [seminormed_add_comm_group E] [seminormed_add_comm_group F] [seminormed_add_comm_group G]
-variables [normed_space 𝕜 E] [normed_space 𝕜₂ F] [normed_space 𝕜 G]
+variables [module 𝕜 E] [module 𝕜₂ F] [module 𝕜 G]
 variables {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
@@ -51,13 +51,6 @@ The fact that the norm of the continuous linear map is then controlled is given
 def linear_map.mk_continuous (C : ℝ) (h : ∀x, ‖f x‖ ≤ C * ‖x‖) : E →SL[σ] F :=
 ⟨f, add_monoid_hom_class.continuous_of_bound f C h⟩
 
-/-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
-is generalized to the case of any finite dimensional domain
-in `linear_map.to_continuous_linear_map`. -/
-def linear_map.to_continuous_linear_map₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
-f.mk_continuous (‖f 1‖) $ λ x, le_of_eq $
-by { conv_lhs { rw ← mul_one x }, rw [← smul_eq_mul, f.map_smul, norm_smul, mul_comm] }
-
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
 follow automatically in `linear_map.mk_continuous_norm_le`. -/
@@ -89,14 +82,6 @@ add_monoid_hom_class.continuous_of_bound φ C h_bound
 @[simp] lemma linear_map.mk_continuous_of_exists_bound_apply (h : ∃C, ∀x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
   f.mk_continuous_of_exists_bound h x = f x := rfl
 
-@[simp] lemma linear_map.to_continuous_linear_map₁_coe (f : 𝕜 →ₗ[𝕜] E) :
-  (f.to_continuous_linear_map₁ : 𝕜 →ₗ[𝕜] E) = f :=
-rfl
-
-@[simp] lemma linear_map.to_continuous_linear_map₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
-  f.to_continuous_linear_map₁ x = f x :=
-rfl
-
 namespace continuous_linear_map
 
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
@@ -125,11 +110,34 @@ def linear_equiv.to_continuous_linear_equiv_of_bounds (e : E ≃ₛₗ[σ] F) (C
 
 end
 
-end seminormed
+end seminormed_add_comm_group
+
+section seminormed_bounded
+
+variables [semi_normed_ring 𝕜] [ring 𝕜₂] [seminormed_add_comm_group E]
+variables [module 𝕜 E] [has_bounded_smul 𝕜 E]
+
+/-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
+is generalized to the case of any finite dimensional domain
+in `linear_map.to_continuous_linear_map`. -/
+def linear_map.to_continuous_linear_map₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
+f.mk_continuous (‖f 1‖) $ λ x,
+by { conv_lhs { rw ← mul_one x }, rw [← smul_eq_mul, f.map_smul, mul_comm],exact norm_smul_le _ _ }
+
+@[simp] lemma linear_map.to_continuous_linear_map₁_coe (f : 𝕜 →ₗ[𝕜] E) :
+  (f.to_continuous_linear_map₁ : 𝕜 →ₗ[𝕜] E) = f :=
+rfl
+
+@[simp] lemma linear_map.to_continuous_linear_map₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
+  f.to_continuous_linear_map₁ x = f x :=
+rfl
+
+end seminormed_bounded
 
 section normed
 
-variables [normed_add_comm_group E] [normed_add_comm_group F] [normed_space 𝕜 E] [normed_space 𝕜₂ F]
+variables [ring 𝕜] [ring 𝕜₂]
+variables [normed_add_comm_group E] [normed_add_comm_group F] [module 𝕜 E] [module 𝕜₂ F]
 variables {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
 theorem continuous_linear_map.uniform_embedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
@@ -142,8 +150,9 @@ end normed
 
 section seminormed
 
+variables [ring 𝕜] [ring 𝕜₂]
 variables [seminormed_add_comm_group E] [seminormed_add_comm_group F]
-variables [normed_space 𝕜 E] [normed_space 𝕜₂ F]
+variables [module 𝕜 E] [module 𝕜₂ F]
 variables {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
@@ -180,42 +189,34 @@ end seminormed
 
 /-! ## The span of a single vector -/
 
-section seminormed
-
-variables [seminormed_add_comm_group E] [normed_space 𝕜 E]
-
 namespace continuous_linear_map
+variables (𝕜)
 
-variable (𝕜)
+section seminormed
+variables [normed_division_ring 𝕜] [seminormed_add_comm_group E] [module 𝕜 E] [has_bounded_smul 𝕜 E]
 
 lemma to_span_singleton_homothety (x : E) (c : 𝕜) :
   ‖linear_map.to_span_singleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ :=
 by {rw mul_comm, exact norm_smul _ _}
 
-end continuous_linear_map
+end seminormed
 
-section
+end continuous_linear_map
 
 namespace continuous_linear_equiv
-
 variable (𝕜)
 
+section seminormed
+variables [normed_division_ring 𝕜] [seminormed_add_comm_group E] [module 𝕜 E] [has_bounded_smul 𝕜 E]
+
 lemma to_span_nonzero_singleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
   ‖linear_equiv.to_span_nonzero_singleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
 continuous_linear_map.to_span_singleton_homothety _ _ _
 
-end continuous_linear_equiv
-
-end
-
 end seminormed
 
 section normed
-
-variables [normed_add_comm_group E] [normed_space 𝕜 E]
-
-namespace continuous_linear_equiv
-variable (𝕜)
+variables [normed_field 𝕜] [normed_add_comm_group E] [normed_space 𝕜 E]
 
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
@@ -246,6 +247,6 @@ noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
   (coord 𝕜 x h) (⟨x, submodule.mem_span_singleton_self x⟩ : 𝕜 ∙ x) = 1 :=
 linear_equiv.coord_self 𝕜 E x h
 
-end continuous_linear_equiv
-
 end normed
+
+end continuous_linear_equiv

feat(analysis/normed/group/basic): norm lemmas for lipschitz and antilipschitz (#19103)

This also corrects some nonsense names produced by to_additive.

Diff

@@ -105,7 +105,7 @@ add_monoid_hom_class.antilipschitz_of_bound _ h
 
 lemma bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : antilipschitz_with K f) (x) :
   ‖x‖ ≤ K * ‖f x‖ :=
-add_monoid_hom_class.bound_of_antilipschitz _ h x
+zero_hom_class.bound_of_antilipschitz _ h x
 
 end continuous_linear_map

6285167a

chore(topology/algebra/module/basic): generalize to_span_singleton to topological spaces (#19116)

This should be straightforward to forward-port, as it involves deleting one hunk and pasting in another.

Diff

@@ -192,27 +192,6 @@ lemma to_span_singleton_homothety (x : E) (c : 𝕜) :
   ‖linear_map.to_span_singleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ :=
 by {rw mul_comm, exact norm_smul _ _}
 
-/-- Given an element `x` of a normed space `E` over a field `𝕜`, the natural continuous
-    linear map from `𝕜` to `E` by taking multiples of `x`.-/
-def to_span_singleton (x : E) : 𝕜 →L[𝕜] E :=
-of_homothety (linear_map.to_span_singleton 𝕜 E x) ‖x‖ (to_span_singleton_homothety 𝕜 x)
-
-lemma to_span_singleton_apply (x : E) (r : 𝕜) : to_span_singleton 𝕜 x r = r • x :=
-by simp [to_span_singleton, of_homothety, linear_map.to_span_singleton]
-
-lemma to_span_singleton_add (x y : E) :
-  to_span_singleton 𝕜 (x + y) = to_span_singleton 𝕜 x + to_span_singleton 𝕜 y :=
-by { ext1, simp [to_span_singleton_apply], }
-
-lemma to_span_singleton_smul' (𝕜') [normed_field 𝕜'] [normed_space 𝕜' E]
-  [smul_comm_class 𝕜 𝕜' E] (c : 𝕜') (x : E) :
-  to_span_singleton 𝕜 (c • x) = c • to_span_singleton 𝕜 x :=
-by { ext1, rw [to_span_singleton_apply, smul_apply, to_span_singleton_apply, smul_comm], }
-
-lemma to_span_singleton_smul (c : 𝕜) (x : E) :
-  to_span_singleton 𝕜 (c • x) = c • to_span_singleton 𝕜 x :=
-to_span_singleton_smul' 𝕜 𝕜 c x
-
 end continuous_linear_map
 
 section

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-02-10-08

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

c6692027

Diff

@@ -279,10 +279,10 @@ section Seminormed
 
 variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
 
-#print ContinuousLinearMap.toSpanSingleton_homothety /-
+#print LinearMap.toSpanSingleton_homothety /-
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by rw [mul_comm]; exact norm_smul _ _
-#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
+#align continuous_linear_map.to_span_singleton_homothety LinearMap.toSpanSingleton_homothety
 -/
 
 end Seminormed
@@ -297,11 +297,11 @@ section Seminormed
 
 variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
 
-#print ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety /-
+#print LinearEquiv.toSpanNonzeroSingleton_homothety /-
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
-  ContinuousLinearMap.toSpanSingleton_homothety _ _ _
-#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety
+  LinearMap.toSpanSingleton_homothety _ _ _
+#align continuous_linear_equiv.to_span_nonzero_singleton_homothety LinearEquiv.toSpanNonzeroSingleton_homothety
 -/
 
 end Seminormed

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2019 Jan-David Salchow. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 -/
-import Mathbin.Analysis.NormedSpace.Basic
+import Analysis.NormedSpace.Basic
 
 #align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"fe18deda804e30c594e75a6e5fe0f7d14695289f"

bump to nightly-2023-07-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/fe18deda804e30c594e75a6e5fe0f7d14695289f

8f2214eb

Diff

@@ -5,7 +5,7 @@ Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 -/
 import Mathbin.Analysis.NormedSpace.Basic
 
-#align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"
+#align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"fe18deda804e30c594e75a6e5fe0f7d14695289f"
 
 /-! # Constructions of continuous linear maps between (semi-)normed spaces
 
@@ -39,16 +39,16 @@ open scoped NNReal
 
 variable {𝕜 𝕜₂ E F G : Type _}
 
-variable [NormedField 𝕜] [NormedField 𝕜₂]
-
 /-! # General constructions -/
 
 
-section Seminormed
+section SeminormedAddCommGroup
+
+variable [Ring 𝕜] [Ring 𝕜₂]
 
 variable [SeminormedAddCommGroup E] [SeminormedAddCommGroup F] [SeminormedAddCommGroup G]
 
-variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F] [NormedSpace 𝕜 G]
+variable [Module 𝕜 E] [Module 𝕜₂ F] [Module 𝕜 G]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
@@ -61,16 +61,6 @@ def LinearMap.mkContinuous (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) : E
 #align linear_map.mk_continuous LinearMap.mkContinuous
 -/
 
-#print LinearMap.toContinuousLinearMap₁ /-
-/-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
-is generalized to the case of any finite dimensional domain
-in `linear_map.to_continuous_linear_map`. -/
-def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
-  f.mkContinuous ‖f 1‖ fun x =>
-    le_of_eq <| by conv_lhs => rw [← mul_one x]; rw [← smul_eq_mul, f.map_smul, norm_smul, mul_comm]
-#align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
--/
-
 #print LinearMap.mkContinuousOfExistsBound /-
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
@@ -138,22 +128,6 @@ theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ 
 #align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_apply
 -/
 
-#print LinearMap.toContinuousLinearMap₁_coe /-
-@[simp]
-theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
-    (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
-  rfl
-#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
--/
-
-#print LinearMap.toContinuousLinearMap₁_apply /-
-@[simp]
-theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
-    f.toContinuousLinearMap₁ x = f x :=
-  rfl
-#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_apply
--/
-
 namespace ContinuousLinearMap
 
 #print ContinuousLinearMap.antilipschitz_of_bound /-
@@ -190,11 +164,47 @@ def LinearEquiv.toContinuousLinearEquivOfBounds (e : E ≃ₛₗ[σ] F) (C_to C_
 
 end
 
-end Seminormed
+end SeminormedAddCommGroup
+
+section SeminormedBounded
+
+variable [SeminormedRing 𝕜] [Ring 𝕜₂] [SeminormedAddCommGroup E]
+
+variable [Module 𝕜 E] [BoundedSMul 𝕜 E]
+
+#print LinearMap.toContinuousLinearMap₁ /-
+/-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
+is generalized to the case of any finite dimensional domain
+in `linear_map.to_continuous_linear_map`. -/
+def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
+  f.mkContinuous ‖f 1‖ fun x => by conv_lhs => rw [← mul_one x];
+    rw [← smul_eq_mul, f.map_smul, mul_comm]; exact norm_smul_le _ _
+#align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
+-/
+
+#print LinearMap.toContinuousLinearMap₁_coe /-
+@[simp]
+theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
+    (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
+  rfl
+#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
+-/
+
+#print LinearMap.toContinuousLinearMap₁_apply /-
+@[simp]
+theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
+    f.toContinuousLinearMap₁ x = f x :=
+  rfl
+#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_apply
+-/
+
+end SeminormedBounded
 
 section Normed
 
-variable [NormedAddCommGroup E] [NormedAddCommGroup F] [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
+variable [Ring 𝕜] [Ring 𝕜₂]
+
+variable [NormedAddCommGroup E] [NormedAddCommGroup F] [Module 𝕜 E] [Module 𝕜₂ F]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
@@ -212,9 +222,11 @@ end Normed
 
 section Seminormed
 
+variable [Ring 𝕜] [Ring 𝕜₂]
+
 variable [SeminormedAddCommGroup E] [SeminormedAddCommGroup F]
 
-variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
+variable [Module 𝕜 E] [Module 𝕜₂ F]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
@@ -259,28 +271,32 @@ end Seminormed
 /-! ## The span of a single vector -/
 
 
-section Seminormed
-
-variable [SeminormedAddCommGroup E] [NormedSpace 𝕜 E]
-
 namespace ContinuousLinearMap
 
 variable (𝕜)
 
+section Seminormed
+
+variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
+
 #print ContinuousLinearMap.toSpanSingleton_homothety /-
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by rw [mul_comm]; exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
 -/
 
-end ContinuousLinearMap
+end Seminormed
 
-section
+end ContinuousLinearMap
 
 namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
+section Seminormed
+
+variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
+
 #print ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety /-
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
@@ -288,19 +304,11 @@ theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
 #align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety
 -/
 
-end ContinuousLinearEquiv
-
-end
-
 end Seminormed
 
 section Normed
 
-variable [NormedAddCommGroup E] [NormedSpace 𝕜 E]
-
-namespace ContinuousLinearEquiv
-
-variable (𝕜)
+variable [NormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜 E]
 
 #print ContinuousLinearEquiv.toSpanNonzeroSingleton /-
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
@@ -351,7 +359,7 @@ theorem coord_self (x : E) (h : x ≠ 0) :
 #align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_self
 -/
 
-end ContinuousLinearEquiv
-
 end Normed
 
+end ContinuousLinearEquiv
+

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Jan-David Salchow. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-
-! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Basic
 
+#align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"
+
 /-! # Constructions of continuous linear maps between (semi-)normed spaces
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

bump to nightly-2023-07-13-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/b01d6eb9d0a308807af54319b264d0994b91774b

7e6e2608

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 
 ! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit 6285167a053ad0990fc88e56c48ccd9fae6550eb
+! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -169,7 +169,7 @@ theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖
 #print ContinuousLinearMap.bound_of_antilipschitz /-
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
-  AddMonoidHomClass.bound_of_antilipschitz _ h x
+  ZeroHomClass.bound_of_antilipschitz _ h x
 #align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitz
 -/

6285167a

bump to nightly-2023-06-22-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/6285167a053ad0990fc88e56c48ccd9fae6550eb

2424c6fa

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 
 ! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit 9a48a083b390d9b84a71efbdc4e8dfa26a687104
+! leanprover-community/mathlib commit 6285167a053ad0990fc88e56c48ccd9fae6550eb
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -276,41 +276,6 @@ theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
 -/
 
-#print ContinuousLinearMap.toSpanSingleton /-
-/-- Given an element `x` of a normed space `E` over a field `𝕜`, the natural continuous
-    linear map from `𝕜` to `E` by taking multiples of `x`.-/
-def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
-  ofHomothety (LinearMap.toSpanSingleton 𝕜 E x) ‖x‖ (toSpanSingleton_homothety 𝕜 x)
-#align continuous_linear_map.to_span_singleton ContinuousLinearMap.toSpanSingleton
--/
-
-#print ContinuousLinearMap.toSpanSingleton_apply /-
-theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
-  simp [to_span_singleton, of_homothety, LinearMap.toSpanSingleton]
-#align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_apply
--/
-
-#print ContinuousLinearMap.toSpanSingleton_add /-
-theorem toSpanSingleton_add (x y : E) :
-    toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y := by ext1;
-  simp [to_span_singleton_apply]
-#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_add
--/
-
-#print ContinuousLinearMap.toSpanSingleton_smul' /-
-theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E] [SMulCommClass 𝕜 𝕜' E]
-    (c : 𝕜') (x : E) : toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x := by ext1;
-  rw [to_span_singleton_apply, smul_apply, to_span_singleton_apply, smul_comm]
-#align continuous_linear_map.to_span_singleton_smul' ContinuousLinearMap.toSpanSingleton_smul'
--/
-
-#print ContinuousLinearMap.toSpanSingleton_smul /-
-theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
-    toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
-  toSpanSingleton_smul' 𝕜 𝕜 c x
-#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smul
--/
-
 end ContinuousLinearMap
 
 section

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -55,12 +55,14 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F] [NormedSpace 𝕜 G]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
+#print LinearMap.mkContinuous /-
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
 `linear_map.mk_continuous_norm_le`. -/
 def LinearMap.mkContinuous (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) : E →SL[σ] F :=
   ⟨f, AddMonoidHomClass.continuous_of_bound f C h⟩
 #align linear_map.mk_continuous LinearMap.mkContinuous
+-/
 
 #print LinearMap.toContinuousLinearMap₁ /-
 /-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
@@ -72,6 +74,7 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 #align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
 -/
 
+#print LinearMap.mkContinuousOfExistsBound /-
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
 follow automatically in `linear_map.mk_continuous_norm_le`. -/
@@ -80,7 +83,9 @@ def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖
     let ⟨C, hC⟩ := h
     AddMonoidHomClass.continuous_of_bound f C hC⟩
 #align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBound
+-/
 
+#print continuous_of_linear_of_boundₛₗ /-
 theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = σ c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     Continuous f :=
@@ -90,7 +95,9 @@ theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x
       map_smul' := h_smul }
   AddMonoidHomClass.continuous_of_bound φ C h_bound
 #align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗ
+-/
 
+#print continuous_of_linear_of_bound /-
 theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     Continuous f :=
@@ -100,54 +107,71 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
       map_smul' := h_smul }
   AddMonoidHomClass.continuous_of_bound φ C h_bound
 #align continuous_of_linear_of_bound continuous_of_linear_of_bound
+-/
 
+#print LinearMap.mkContinuous_coe /-
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     (f.mkContinuous C h : E →ₛₗ[σ] F) = f :=
   rfl
 #align linear_map.mk_continuous_coe LinearMap.mkContinuous_coe
+-/
 
+#print LinearMap.mkContinuous_apply /-
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
     f.mkContinuous C h x = f x :=
   rfl
 #align linear_map.mk_continuous_apply LinearMap.mkContinuous_apply
+-/
 
+#print LinearMap.mkContinuousOfExistsBound_coe /-
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     (f.mkContinuousOfExistsBound h : E →ₛₗ[σ] F) = f :=
   rfl
 #align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coe
+-/
 
+#print LinearMap.mkContinuousOfExistsBound_apply /-
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
     f.mkContinuousOfExistsBound h x = f x :=
   rfl
 #align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_apply
+-/
 
+#print LinearMap.toContinuousLinearMap₁_coe /-
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
     (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
   rfl
 #align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
+-/
 
+#print LinearMap.toContinuousLinearMap₁_apply /-
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
     f.toContinuousLinearMap₁ x = f x :=
   rfl
 #align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_apply
+-/
 
 namespace ContinuousLinearMap
 
+#print ContinuousLinearMap.antilipschitz_of_bound /-
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     AntilipschitzWith K f :=
   AddMonoidHomClass.antilipschitz_of_bound _ h
 #align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_bound
+-/
 
+#print ContinuousLinearMap.bound_of_antilipschitz /-
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
   AddMonoidHomClass.bound_of_antilipschitz _ h x
 #align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitz
+-/
 
 end ContinuousLinearMap
 
@@ -155,8 +179,7 @@ section
 
 variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomInvPair σ₂₁ σ]
 
-include σ₂₁
-
+#print LinearEquiv.toContinuousLinearEquivOfBounds /-
 /-- Construct a continuous linear equivalence from a linear equivalence together with
 bounds in both directions. -/
 def LinearEquiv.toContinuousLinearEquivOfBounds (e : E ≃ₛₗ[σ] F) (C_to C_inv : ℝ)
@@ -166,6 +189,7 @@ def LinearEquiv.toContinuousLinearEquivOfBounds (e : E ≃ₛₗ[σ] F) (C_to C_
   continuous_toFun := AddMonoidHomClass.continuous_of_bound e C_to h_to
   continuous_invFun := AddMonoidHomClass.continuous_of_bound e.symm C_inv h_inv
 #align linear_equiv.to_continuous_linear_equiv_of_bounds LinearEquiv.toContinuousLinearEquivOfBounds
+-/
 
 end
 
@@ -177,10 +201,12 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F] [NormedSpace 𝕜 E] [Nor
 
 variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
+#print ContinuousLinearMap.uniformEmbedding_of_bound /-
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     UniformEmbedding f :=
   (AddMonoidHomClass.antilipschitz_of_bound f hf).UniformEmbedding f.UniformContinuous
 #align continuous_linear_map.uniform_embedding_of_bound ContinuousLinearMap.uniformEmbedding_of_bound
+-/
 
 end Normed
 
@@ -195,6 +221,7 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
+#print ContinuousLinearMap.ofHomothety /-
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
     the corresponding theorem about isometries plus a theorem about scalar multiplication.  Likewise
@@ -204,11 +231,11 @@ def ContinuousLinearMap.ofHomothety (f : E →ₛₗ[σ] F) (a : ℝ) (hf : ∀
     E →SL[σ] F :=
   f.mkContinuous a fun x => le_of_eq (hf x)
 #align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothety
+-/
 
 variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomInvPair σ₂₁ σ]
 
-include σ₂₁
-
+#print ContinuousLinearEquiv.homothety_inverse /-
 theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E ≃ₛₗ[σ] F) :
     (∀ x : E, ‖f x‖ = a * ‖x‖) → ∀ y : F, ‖f.symm y‖ = a⁻¹ * ‖y‖ :=
   by
@@ -219,13 +246,16 @@ theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E 
     _ = a⁻¹ * ‖y‖ := by simp
   rw [← mul_assoc, inv_mul_cancel (ne_of_lt ha).symm, one_mul]
 #align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverse
+-/
 
+#print ContinuousLinearEquiv.ofHomothety /-
 /-- A linear equivalence which is a homothety is a continuous linear equivalence. -/
 noncomputable def ContinuousLinearEquiv.ofHomothety (f : E ≃ₛₗ[σ] F) (a : ℝ) (ha : 0 < a)
     (hf : ∀ x, ‖f x‖ = a * ‖x‖) : E ≃SL[σ] F :=
   LinearEquiv.toContinuousLinearEquivOfBounds f a a⁻¹ (fun x => (hf x).le) fun x =>
     (ContinuousLinearEquiv.homothety_inverse a ha f hf x).le
 #align continuous_linear_equiv.of_homothety ContinuousLinearEquiv.ofHomothety
+-/
 
 end Seminormed
 
@@ -240,9 +270,11 @@ namespace ContinuousLinearMap
 
 variable (𝕜)
 
+#print ContinuousLinearMap.toSpanSingleton_homothety /-
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by rw [mul_comm]; exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
+-/
 
 #print ContinuousLinearMap.toSpanSingleton /-
 /-- Given an element `x` of a normed space `E` over a field `𝕜`, the natural continuous
@@ -252,14 +284,18 @@ def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
 #align continuous_linear_map.to_span_singleton ContinuousLinearMap.toSpanSingleton
 -/
 
+#print ContinuousLinearMap.toSpanSingleton_apply /-
 theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
   simp [to_span_singleton, of_homothety, LinearMap.toSpanSingleton]
 #align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_apply
+-/
 
+#print ContinuousLinearMap.toSpanSingleton_add /-
 theorem toSpanSingleton_add (x y : E) :
     toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y := by ext1;
   simp [to_span_singleton_apply]
 #align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_add
+-/
 
 #print ContinuousLinearMap.toSpanSingleton_smul' /-
 theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E] [SMulCommClass 𝕜 𝕜' E]
@@ -268,10 +304,12 @@ theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E]
 #align continuous_linear_map.to_span_singleton_smul' ContinuousLinearMap.toSpanSingleton_smul'
 -/
 
+#print ContinuousLinearMap.toSpanSingleton_smul /-
 theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
     toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
   toSpanSingleton_smul' 𝕜 𝕜 c x
 #align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smul
+-/
 
 end ContinuousLinearMap
 
@@ -281,10 +319,12 @@ namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
+#print ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety /-
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
   ContinuousLinearMap.toSpanSingleton_homothety _ _ _
 #align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety
+-/
 
 end ContinuousLinearEquiv
 
@@ -300,42 +340,54 @@ namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
+#print ContinuousLinearEquiv.toSpanNonzeroSingleton /-
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
 noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜] 𝕜 ∙ x :=
   ofHomothety (LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h) ‖x‖ (norm_pos_iff.mpr h)
     (toSpanNonzeroSingleton_homothety 𝕜 x h)
 #align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingleton
+-/
 
+#print ContinuousLinearEquiv.coord /-
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural continuous
     linear map from the span of `x` to `𝕜`.-/
 noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
   (toSpanNonzeroSingleton 𝕜 x h).symm
 #align continuous_linear_equiv.coord ContinuousLinearEquiv.coord
+-/
 
+#print ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm /-
 @[simp]
 theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
     ⇑(toSpanNonzeroSingleton 𝕜 x h).symm = coord 𝕜 x h :=
   rfl
 #align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm
+-/
 
+#print ContinuousLinearEquiv.coord_toSpanNonzeroSingleton /-
 @[simp]
 theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
     coord 𝕜 x h (toSpanNonzeroSingleton 𝕜 x h c) = c :=
   (toSpanNonzeroSingleton 𝕜 x h).symm_apply_apply c
 #align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingleton
+-/
 
+#print ContinuousLinearEquiv.toSpanNonzeroSingleton_coord /-
 @[simp]
 theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
     toSpanNonzeroSingleton 𝕜 x h (coord 𝕜 x h y) = y :=
   (toSpanNonzeroSingleton 𝕜 x h).apply_symm_apply y
 #align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coord
+-/
 
+#print ContinuousLinearEquiv.coord_self /-
 @[simp]
 theorem coord_self (x : E) (h : x ≠ 0) :
     (coord 𝕜 x h) (⟨x, Submodule.mem_span_singleton_self x⟩ : 𝕜 ∙ x) = 1 :=
   LinearEquiv.coord_self 𝕜 E x h
 #align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_self
+-/
 
 end ContinuousLinearEquiv

bump to nightly-2023-06-09-07

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

16afdc39

Diff

@@ -217,7 +217,6 @@ theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E 
     ‖f.symm y‖ = a⁻¹ * (a * ‖f.symm y‖) := _
     _ = a⁻¹ * ‖f (f.symm y)‖ := by rw [hf]
     _ = a⁻¹ * ‖y‖ := by simp
-    
   rw [← mul_assoc, inv_mul_cancel (ne_of_lt ha).symm, one_mul]
 #align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverse

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -38,7 +38,7 @@ open Metric ContinuousLinearMap
 
 open Set Real
 
-open NNReal
+open scoped NNReal
 
 variable {𝕜 𝕜₂ E F G : Type _}

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -55,9 +55,6 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F] [NormedSpace 𝕜 G]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
-/- warning: linear_map.mk_continuous -> LinearMap.mkContinuous is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous LinearMap.mkContinuousₓ'. -/
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
 `linear_map.mk_continuous_norm_le`. -/
@@ -75,9 +72,6 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 #align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
 -/
 
-/- warning: linear_map.mk_continuous_of_exists_bound -> LinearMap.mkContinuousOfExistsBound is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBoundₓ'. -/
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
 follow automatically in `linear_map.mk_continuous_norm_le`. -/
@@ -87,9 +81,6 @@ def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖
     AddMonoidHomClass.continuous_of_bound f C hC⟩
 #align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBound
 
-/- warning: continuous_of_linear_of_boundₛₗ -> continuous_of_linear_of_boundₛₗ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗₓ'. -/
 theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = σ c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     Continuous f :=
@@ -100,9 +91,6 @@ theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x
   AddMonoidHomClass.continuous_of_bound φ C h_bound
 #align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗ
 
-/- warning: continuous_of_linear_of_bound -> continuous_of_linear_of_bound is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_bound continuous_of_linear_of_boundₓ'. -/
 theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     Continuous f :=
@@ -113,54 +101,36 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
   AddMonoidHomClass.continuous_of_bound φ C h_bound
 #align continuous_of_linear_of_bound continuous_of_linear_of_bound
 
-/- warning: linear_map.mk_continuous_coe -> LinearMap.mkContinuous_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_coe LinearMap.mkContinuous_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     (f.mkContinuous C h : E →ₛₗ[σ] F) = f :=
   rfl
 #align linear_map.mk_continuous_coe LinearMap.mkContinuous_coe
 
-/- warning: linear_map.mk_continuous_apply -> LinearMap.mkContinuous_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_apply LinearMap.mkContinuous_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
     f.mkContinuous C h x = f x :=
   rfl
 #align linear_map.mk_continuous_apply LinearMap.mkContinuous_apply
 
-/- warning: linear_map.mk_continuous_of_exists_bound_coe -> LinearMap.mkContinuousOfExistsBound_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     (f.mkContinuousOfExistsBound h : E →ₛₗ[σ] F) = f :=
   rfl
 #align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coe
 
-/- warning: linear_map.mk_continuous_of_exists_bound_apply -> LinearMap.mkContinuousOfExistsBound_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
     f.mkContinuousOfExistsBound h x = f x :=
   rfl
 #align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_apply
 
-/- warning: linear_map.to_continuous_linear_map₁_coe -> LinearMap.toContinuousLinearMap₁_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coeₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
     (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
   rfl
 #align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
 
-/- warning: linear_map.to_continuous_linear_map₁_apply -> LinearMap.toContinuousLinearMap₁_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_applyₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
     f.toContinuousLinearMap₁ x = f x :=
@@ -169,17 +139,11 @@ theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
 
 namespace ContinuousLinearMap
 
-/- warning: continuous_linear_map.antilipschitz_of_bound -> ContinuousLinearMap.antilipschitz_of_bound is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_boundₓ'. -/
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     AntilipschitzWith K f :=
   AddMonoidHomClass.antilipschitz_of_bound _ h
 #align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_bound
 
-/- warning: continuous_linear_map.bound_of_antilipschitz -> ContinuousLinearMap.bound_of_antilipschitz is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitzₓ'. -/
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
   AddMonoidHomClass.bound_of_antilipschitz _ h x
@@ -193,9 +157,6 @@ variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomIn
 
 include σ₂₁
 
-/- warning: linear_equiv.to_continuous_linear_equiv_of_bounds -> LinearEquiv.toContinuousLinearEquivOfBounds is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.to_continuous_linear_equiv_of_bounds LinearEquiv.toContinuousLinearEquivOfBoundsₓ'. -/
 /-- Construct a continuous linear equivalence from a linear equivalence together with
 bounds in both directions. -/
 def LinearEquiv.toContinuousLinearEquivOfBounds (e : E ≃ₛₗ[σ] F) (C_to C_inv : ℝ)
@@ -216,9 +177,6 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F] [NormedSpace 𝕜 E] [Nor
 
 variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
-/- warning: continuous_linear_map.uniform_embedding_of_bound -> ContinuousLinearMap.uniformEmbedding_of_bound is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.uniform_embedding_of_bound ContinuousLinearMap.uniformEmbedding_of_boundₓ'. -/
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     UniformEmbedding f :=
   (AddMonoidHomClass.antilipschitz_of_bound f hf).UniformEmbedding f.UniformContinuous
@@ -237,9 +195,6 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
-/- warning: continuous_linear_map.of_homothety -> ContinuousLinearMap.ofHomothety is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothetyₓ'. -/
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
     the corresponding theorem about isometries plus a theorem about scalar multiplication.  Likewise
@@ -254,9 +209,6 @@ variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomIn
 
 include σ₂₁
 
-/- warning: continuous_linear_equiv.homothety_inverse -> ContinuousLinearEquiv.homothety_inverse is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverseₓ'. -/
 theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E ≃ₛₗ[σ] F) :
     (∀ x : E, ‖f x‖ = a * ‖x‖) → ∀ y : F, ‖f.symm y‖ = a⁻¹ * ‖y‖ :=
   by
@@ -269,9 +221,6 @@ theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E 
   rw [← mul_assoc, inv_mul_cancel (ne_of_lt ha).symm, one_mul]
 #align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverse
 
-/- warning: continuous_linear_equiv.of_homothety -> ContinuousLinearEquiv.ofHomothety is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.of_homothety ContinuousLinearEquiv.ofHomothetyₓ'. -/
 /-- A linear equivalence which is a homothety is a continuous linear equivalence. -/
 noncomputable def ContinuousLinearEquiv.ofHomothety (f : E ≃ₛₗ[σ] F) (a : ℝ) (ha : 0 < a)
     (hf : ∀ x, ‖f x‖ = a * ‖x‖) : E ≃SL[σ] F :=
@@ -292,12 +241,6 @@ namespace ContinuousLinearMap
 
 variable (𝕜)
 
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-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothetyₓ'. -/
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by rw [mul_comm]; exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
@@ -310,16 +253,10 @@ def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
 #align continuous_linear_map.to_span_singleton ContinuousLinearMap.toSpanSingleton
 -/
 
-/- warning: continuous_linear_map.to_span_singleton_apply -> ContinuousLinearMap.toSpanSingleton_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_applyₓ'. -/
 theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
   simp [to_span_singleton, of_homothety, LinearMap.toSpanSingleton]
 #align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_apply
 
-/- warning: continuous_linear_map.to_span_singleton_add -> ContinuousLinearMap.toSpanSingleton_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_addₓ'. -/
 theorem toSpanSingleton_add (x y : E) :
     toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y := by ext1;
   simp [to_span_singleton_apply]
@@ -332,9 +269,6 @@ theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E]
 #align continuous_linear_map.to_span_singleton_smul' ContinuousLinearMap.toSpanSingleton_smul'
 -/
 
-/- warning: continuous_linear_map.to_span_singleton_smul -> ContinuousLinearMap.toSpanSingleton_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smulₓ'. -/
 theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
     toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
   toSpanSingleton_smul' 𝕜 𝕜 c x
@@ -348,9 +282,6 @@ namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
-/- warning: continuous_linear_equiv.to_span_nonzero_singleton_homothety -> ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
   ContinuousLinearMap.toSpanSingleton_homothety _ _ _
@@ -370,9 +301,6 @@ namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
-/- warning: continuous_linear_equiv.to_span_nonzero_singleton -> ContinuousLinearEquiv.toSpanNonzeroSingleton is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingletonₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
 noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜] 𝕜 ∙ x :=
@@ -380,45 +308,30 @@ noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜]
     (toSpanNonzeroSingleton_homothety 𝕜 x h)
 #align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingleton
 
-/- warning: continuous_linear_equiv.coord -> ContinuousLinearEquiv.coord is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord ContinuousLinearEquiv.coordₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural continuous
     linear map from the span of `x` to `𝕜`.-/
 noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
   (toSpanNonzeroSingleton 𝕜 x h).symm
 #align continuous_linear_equiv.coord ContinuousLinearEquiv.coord
 
-/- warning: continuous_linear_equiv.coe_to_span_nonzero_singleton_symm -> ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symmₓ'. -/
 @[simp]
 theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
     ⇑(toSpanNonzeroSingleton 𝕜 x h).symm = coord 𝕜 x h :=
   rfl
 #align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm
 
-/- warning: continuous_linear_equiv.coord_to_span_nonzero_singleton -> ContinuousLinearEquiv.coord_toSpanNonzeroSingleton is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingletonₓ'. -/
 @[simp]
 theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
     coord 𝕜 x h (toSpanNonzeroSingleton 𝕜 x h c) = c :=
   (toSpanNonzeroSingleton 𝕜 x h).symm_apply_apply c
 #align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingleton
 
-/- warning: continuous_linear_equiv.to_span_nonzero_singleton_coord -> ContinuousLinearEquiv.toSpanNonzeroSingleton_coord is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coordₓ'. -/
 @[simp]
 theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
     toSpanNonzeroSingleton 𝕜 x h (coord 𝕜 x h y) = y :=
   (toSpanNonzeroSingleton 𝕜 x h).apply_symm_apply y
 #align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coord
 
-/- warning: continuous_linear_equiv.coord_self -> ContinuousLinearEquiv.coord_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_selfₓ'. -/
 @[simp]
 theorem coord_self (x : E) (h : x ≠ 0) :
     (coord 𝕜 x h) (⟨x, Submodule.mem_span_singleton_self x⟩ : 𝕜 ∙ x) = 1 :=

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -71,9 +71,7 @@ is generalized to the case of any finite dimensional domain
 in `linear_map.to_continuous_linear_map`. -/
 def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
   f.mkContinuous ‖f 1‖ fun x =>
-    le_of_eq <| by
-      conv_lhs => rw [← mul_one x]
-      rw [← smul_eq_mul, f.map_smul, norm_smul, mul_comm]
+    le_of_eq <| by conv_lhs => rw [← mul_one x]; rw [← smul_eq_mul, f.map_smul, norm_smul, mul_comm]
 #align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
 -/
 
@@ -301,10 +299,7 @@ but is expected to have type
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) c) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothetyₓ'. -/
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
-    ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ :=
-  by
-  rw [mul_comm]
-  exact norm_smul _ _
+    ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by rw [mul_comm]; exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
 
 #print ContinuousLinearMap.toSpanSingleton /-
@@ -326,17 +321,13 @@ theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r
 <too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_addₓ'. -/
 theorem toSpanSingleton_add (x y : E) :
-    toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y :=
-  by
-  ext1
+    toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y := by ext1;
   simp [to_span_singleton_apply]
 #align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_add
 
 #print ContinuousLinearMap.toSpanSingleton_smul' /-
 theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E] [SMulCommClass 𝕜 𝕜' E]
-    (c : 𝕜') (x : E) : toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
-  by
-  ext1
+    (c : 𝕜') (x : E) : toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x := by ext1;
   rw [to_span_singleton_apply, smul_apply, to_span_singleton_apply, smul_comm]
 #align continuous_linear_map.to_span_singleton_smul' ContinuousLinearMap.toSpanSingleton_smul'
 -/

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -56,10 +56,7 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F] [NormedSpace 𝕜 G]
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
 /- warning: linear_map.mk_continuous -> LinearMap.mkContinuous is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous LinearMap.mkContinuousₓ'. -/
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
@@ -81,10 +78,7 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 -/
 
 /- warning: linear_map.mk_continuous_of_exists_bound -> LinearMap.mkContinuousOfExistsBound is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBoundₓ'. -/
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
@@ -96,10 +90,7 @@ def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖
 #align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBound
 
 /- warning: continuous_of_linear_of_boundₛₗ -> continuous_of_linear_of_boundₛₗ is a dubious translation:
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Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗₓ'. -/
 theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = σ c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -112,10 +103,7 @@ theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x
 #align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗ
 
 /- warning: continuous_of_linear_of_bound -> continuous_of_linear_of_bound is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_bound continuous_of_linear_of_boundₓ'. -/
 theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -128,10 +116,7 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
 #align continuous_of_linear_of_bound continuous_of_linear_of_bound
 
 /- warning: linear_map.mk_continuous_coe -> LinearMap.mkContinuous_coe is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_coe LinearMap.mkContinuous_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -140,10 +125,7 @@ theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x
 #align linear_map.mk_continuous_coe LinearMap.mkContinuous_coe
 
 /- warning: linear_map.mk_continuous_apply -> LinearMap.mkContinuous_apply is a dubious translation:
-lean 3 declaration is
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(NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F 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-but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ 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(AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F 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(SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_apply LinearMap.mkContinuous_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -152,10 +134,7 @@ theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖
 #align linear_map.mk_continuous_apply LinearMap.mkContinuous_apply
 
 /- warning: linear_map.mk_continuous_of_exists_bound_coe -> LinearMap.mkContinuousOfExistsBound_coe is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -164,10 +143,7 @@ theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤
 #align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coe
 
 /- warning: linear_map.mk_continuous_of_exists_bound_apply -> LinearMap.mkContinuousOfExistsBound_apply is a dubious translation:
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-> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
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_inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F 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𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E 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(PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -176,10 +152,7 @@ theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ 
 #align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_apply
 
 /- warning: linear_map.to_continuous_linear_map₁_coe -> LinearMap.toContinuousLinearMap₁_coe is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6))))) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (ContinuousLinearMap.toLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coeₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
@@ -188,10 +161,7 @@ theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
 #align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
 
 /- warning: linear_map.to_continuous_linear_map₁_apply -> LinearMap.toContinuousLinearMap₁_apply is a dubious translation:
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(NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) f x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_applyₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
@@ -202,10 +172,7 @@ theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
 namespace ContinuousLinearMap
 
 /- warning: continuous_linear_map.antilipschitz_of_bound -> ContinuousLinearMap.antilipschitz_of_bound is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, 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_inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f x)))) -> (AntilipschitzWith.{u3, u4} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4)) K (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f))
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-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x)))) -> (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_boundₓ'. -/
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     AntilipschitzWith K f :=
@@ -213,10 +180,7 @@ theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖
 #align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_bound
 
 /- warning: continuous_linear_map.bound_of_antilipschitz -> ContinuousLinearMap.bound_of_antilipschitz is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ 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(Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitzₓ'. -/
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
@@ -232,10 +196,7 @@ variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomIn
 include σ₂₁
 
 /- warning: linear_equiv.to_continuous_linear_equiv_of_bounds -> LinearEquiv.toContinuousLinearEquivOfBounds is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ 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-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C_to : Real) (C_inv : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ 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(SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F 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(Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10))))) e x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_to (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (forall (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) (SeminormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) _inst_3) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F 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(DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) σ₂₁ σ _inst_10 _inst_9))))) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10 e) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_inv (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_continuous_linear_equiv_of_bounds LinearEquiv.toContinuousLinearEquivOfBoundsₓ'. -/
 /-- Construct a continuous linear equivalence from a linear equivalence together with
 bounds in both directions. -/
@@ -258,10 +219,7 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F] [NormedSpace 𝕜 E] [Nor
 variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
 /- warning: continuous_linear_map.uniform_embedding_of_bound -> ContinuousLinearMap.uniformEmbedding_of_bound is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (NormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (NormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F 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(PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) f))
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-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u4}} {F : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u4} E] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)] [_inst_6 : NormedSpace.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} E (NormedAddCommGroup.toNorm.{u4} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (NormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f x)))) -> (UniformEmbedding.{u4, u3} E F (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.uniform_embedding_of_bound ContinuousLinearMap.uniformEmbedding_of_boundₓ'. -/
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     UniformEmbedding f :=
@@ -282,10 +240,7 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
 /- warning: continuous_linear_map.of_homothety -> ContinuousLinearMap.ofHomothety is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothetyₓ'. -/
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
@@ -302,10 +257,7 @@ variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomIn
 include σ₂₁
 
 /- warning: continuous_linear_equiv.homothety_inverse -> ContinuousLinearEquiv.homothety_inverse is a dubious translation:
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(Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 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(Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u3, u4} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (f : LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverseₓ'. -/
 theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E ≃ₛₗ[σ] F) :
     (∀ x : E, ‖f x‖ = a * ‖x‖) → ∀ y : F, ‖f.symm y‖ = a⁻¹ * ‖y‖ :=
@@ -320,10 +272,7 @@ theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E 
 #align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverse
 
 /- warning: continuous_linear_equiv.of_homothety -> ContinuousLinearEquiv.ofHomothety is a dubious translation:
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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.of_homothety ContinuousLinearEquiv.ofHomothetyₓ'. -/
 /-- A linear equivalence which is a homothety is a continuous linear equivalence. -/
 noncomputable def ContinuousLinearEquiv.ofHomothety (f : E ≃ₛₗ[σ] F) (a : ℝ) (ha : 0 < a)
@@ -367,20 +316,14 @@ def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
 -/
 
 /- warning: continuous_linear_map.to_span_singleton_apply -> ContinuousLinearMap.toSpanSingleton_apply is a dubious translation:
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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) r x)
-but is expected to have type
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𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))))) r x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_applyₓ'. -/
 theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
   simp [to_span_singleton, of_homothety, LinearMap.toSpanSingleton]
 #align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_apply
 
 /- warning: continuous_linear_map.to_span_singleton_add -> ContinuousLinearMap.toSpanSingleton_add is a dubious translation:
-lean 3 declaration is
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(ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 y))
-but is expected to have type
-  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 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(NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_addₓ'. -/
 theorem toSpanSingleton_add (x y : E) :
     toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y :=
@@ -399,10 +342,7 @@ theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E]
 -/
 
 /- warning: continuous_linear_map.to_span_singleton_smul -> ContinuousLinearMap.toSpanSingleton_smul is a dubious translation:
-lean 3 declaration is
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(AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) c x)) (SMul.smul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toHasSmul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(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 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))))))) c (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x))
-but is expected to have type
-  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))))) c x)) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Module.toMulActionWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E _inst_3))) (ContinuousLinearMap.module.{u2, u2, u2, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u2, u1} 𝕜 E (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E 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(SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E _inst_3)))))))) c (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smulₓ'. -/
 theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
     toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
@@ -418,10 +358,7 @@ namespace ContinuousLinearEquiv
 variable (𝕜)
 
 /- warning: continuous_linear_equiv.to_span_nonzero_singleton_homothety -> ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety is a dubious translation:
-lean 3 declaration is
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(Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
@@ -443,10 +380,7 @@ namespace ContinuousLinearEquiv
 variable (𝕜)
 
 /- warning: continuous_linear_equiv.to_span_nonzero_singleton -> ContinuousLinearEquiv.toSpanNonzeroSingleton is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingletonₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
@@ -456,10 +390,7 @@ noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜]
 #align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingleton
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord ContinuousLinearEquiv.coordₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural continuous
     linear map from the span of `x` to `𝕜`.-/
@@ -468,10 +399,7 @@ noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
 #align continuous_linear_equiv.coord ContinuousLinearEquiv.coord
 
 /- warning: continuous_linear_equiv.coe_to_span_nonzero_singleton_symm -> ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm is a dubious translation:
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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (coeSort.{succ u2, 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, 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E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E 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E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) 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(NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symmₓ'. -/
 @[simp]
 theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
@@ -480,10 +408,7 @@ theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
 #align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm
 
 /- warning: continuous_linear_equiv.coord_to_span_nonzero_singleton -> ContinuousLinearEquiv.coord_toSpanNonzeroSingleton is a dubious translation:
-lean 3 declaration is
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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (fun (_x : ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) => 𝕜 -> (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) a) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) c
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingletonₓ'. -/
 @[simp]
 theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
@@ -492,10 +417,7 @@ theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
 #align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingleton
 
 /- warning: continuous_linear_equiv.to_span_nonzero_singleton_coord -> ContinuousLinearEquiv.toSpanNonzeroSingleton_coord is a dubious translation:
-lean 3 declaration is
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(UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) 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(x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coordₓ'. -/
 @[simp]
 theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
@@ -504,10 +426,7 @@ theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
 #align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coord
 
 /- warning: continuous_linear_equiv.coord_self -> ContinuousLinearEquiv.coord_self is a dubious translation:
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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (fun (_x : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_selfₓ'. -/
 @[simp]
 theorem coord_self (x : E) (h : x ≠ 0) :

bump to nightly-2023-05-26-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/e1a18cad9cd462973d760af7de36b05776b8811c

d59ee359

Diff

@@ -419,7 +419,7 @@ variable (𝕜)
 
 /- warning: continuous_linear_equiv.to_span_nonzero_singleton_homothety -> ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety is a dubious translation:
 lean 3 declaration is
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+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (LinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (LinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (LinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (LinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (GroupWithZero.toNoZeroSMulDivisors.{u1, u2} 𝕜 E (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (Module.toDistribMulAction.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
 but is expected to have type
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/

bump to nightly-2023-05-24-12

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

2a3e3db2

Diff

@@ -380,7 +380,7 @@ theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3))))))) x y)) (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 y))
 but is expected to have type
-  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3))))))) x y)) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 y))
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3))))))) x y)) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 y))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_addₓ'. -/
 theorem toSpanSingleton_add (x y : E) :
     toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y :=
@@ -402,7 +402,7 @@ theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E]
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) c x)) (SMul.smul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toHasSmul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u1, u2} 𝕜 E (CommRing.toCommMonoid.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))))))) c (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x))
 but is expected to have type
-  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))))) c x)) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Module.toMulActionWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3))) (ContinuousLinearMap.module.{u2, u2, u2, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u2, u1} 𝕜 E (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u2, u1} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))))))) c (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x))
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))))) c x)) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Module.toMulActionWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E _inst_3))) (ContinuousLinearMap.module.{u2, u2, u2, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u2, u1} 𝕜 E (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u2, u1} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.toTopologicalAddGroup.{u1} E _inst_3)))))))) c (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smulₓ'. -/
 theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
     toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -59,7 +59,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous LinearMap.mkContinuousₓ'. -/
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
@@ -84,7 +84,7 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBoundₓ'. -/
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
@@ -131,7 +131,7 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_coe LinearMap.mkContinuous_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -143,7 +143,7 @@ theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_apply LinearMap.mkContinuous_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -155,7 +155,7 @@ theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -167,7 +167,7 @@ theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ 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(UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -191,7 +191,7 @@ theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (ContinuousLinearMap.toFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) f x)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_applyₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
@@ -285,7 +285,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothetyₓ'. -/
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
@@ -349,7 +349,7 @@ variable (𝕜)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) c) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) c) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothetyₓ'. -/
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ :=
@@ -421,7 +421,7 @@ variable (𝕜)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (SeminormedAddCommGroup.toHasNorm.{u2} (coeSort.{succ u2, succ (succ u2)} 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(Set.hasSingleton.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (LinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (LinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E 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(RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -99,7 +99,7 @@ def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toHasAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (SMul.smul.{u1, u3} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6))))) c x)) (SMul.smul.{u2, u4} 𝕜₂ F (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (fun (_x : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) => 𝕜 -> 𝕜₂) (RingHom.hasCoeToFun.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (HSMul.hSMul.{u2, u3, u3} 𝕜 E E (instHSMul.{u2, u3} 𝕜 E (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6)))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F F (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F _inst_2 _inst_4 _inst_7)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))) (RingHom.instRingHomClassRingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (HSMul.hSMul.{u2, u3, u3} 𝕜 E E (instHSMul.{u2, u3} 𝕜 E (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6)))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F F (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) c) F _inst_2 _inst_4 _inst_7)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 𝕜) => 𝕜₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))) (RingHom.instRingHomClassRingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
 Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗₓ'. -/
 theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = σ c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Diff

@@ -59,7 +59,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous LinearMap.mkContinuousₓ'. -/
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
@@ -84,7 +84,7 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBoundₓ'. -/
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
@@ -131,7 +131,7 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_coe LinearMap.mkContinuous_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -143,7 +143,7 @@ theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_apply LinearMap.mkContinuous_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -155,7 +155,7 @@ theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -167,7 +167,7 @@ theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ 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(UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -191,7 +191,7 @@ theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (ContinuousLinearMap.toFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) f x)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_applyₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
@@ -285,7 +285,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothetyₓ'. -/
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
@@ -349,7 +349,7 @@ variable (𝕜)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) c) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) c) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothetyₓ'. -/
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ :=

bump to nightly-2023-05-08-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

63e712c6

Diff

@@ -59,7 +59,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous LinearMap.mkContinuousₓ'. -/
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
@@ -84,7 +84,7 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBoundₓ'. -/
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
@@ -99,7 +99,7 @@ def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toHasAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (SMul.smul.{u1, u3} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6))))) c x)) (SMul.smul.{u2, u4} 𝕜₂ F (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (fun (_x : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) => 𝕜 -> 𝕜₂) (RingHom.hasCoeToFun.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (HSMul.hSMul.{u2, u3, u3} 𝕜 E E (instHSMul.{u2, u3} 𝕜 E (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6)))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F F (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F _inst_2 _inst_4 _inst_7)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))))) (RingHom.instRingHomClassRingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))))))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (HSMul.hSMul.{u2, u3, u3} 𝕜 E E (instHSMul.{u2, u3} 𝕜 E (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6)))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F F (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F _inst_2 _inst_4 _inst_7)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))) (RingHom.instRingHomClassRingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2))))))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
 Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗₓ'. -/
 theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = σ c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -131,7 +131,7 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_coe LinearMap.mkContinuous_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -143,7 +143,7 @@ theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_apply LinearMap.mkContinuous_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -155,7 +155,7 @@ theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
@@ -167,7 +167,7 @@ theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ 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(UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
@@ -179,7 +179,7 @@ theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) ((fun (a : Sort.{max (succ u1) (succ u2)}) (b : Sort.{max (succ u1) (succ u2)}) [self : HasLiftT.{max (succ u1) (succ u2), max (succ u1) (succ u2)} a b] => self.0) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6))))) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (ContinuousLinearMap.toLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (ContinuousLinearMap.toLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
 Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coeₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
@@ -191,7 +191,7 @@ theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (ContinuousLinearMap.toFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) f x)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) f x)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))))) f x)
 Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_applyₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
@@ -205,7 +205,7 @@ namespace ContinuousLinearMap
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f x)))) -> (AntilipschitzWith.{u3, u4} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4)) K (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f))
 but is expected to have type
-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x)))) -> (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f))
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x)))) -> (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_boundₓ'. -/
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     AntilipschitzWith K f :=
@@ -216,7 +216,7 @@ theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (AntilipschitzWith.{u3, u4} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4)) K (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f)) -> (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f x))))
 but is expected to have type
-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f)) -> (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x))))
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f)) -> (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitzₓ'. -/
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
@@ -235,7 +235,7 @@ include σ₂₁
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C_to : Real) (C_inv : Real), (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10) e x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C_to (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (forall (x : F), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) => F -> E) (LinearEquiv.hasCoeToFun.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) σ₂₁ σ _inst_10 _inst_9) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10 e) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C_inv (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C_to : Real) (C_inv : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10))))) e x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_to (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (forall (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) (SeminormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) _inst_3) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F (fun (_x : F) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (AddEquivClass.toEquivLike.{max u3 u4, u4, u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) σ₂₁ σ _inst_10 _inst_9))))) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10 e) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_inv (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C_to : Real) (C_inv : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10))))) e x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_to (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (forall (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) (SeminormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) _inst_3) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F (fun (_x : F) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (AddEquivClass.toEquivLike.{max u3 u4, u4, u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) σ₂₁ σ _inst_10 _inst_9))))) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10 e) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_inv (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.to_continuous_linear_equiv_of_bounds LinearEquiv.toContinuousLinearEquivOfBoundsₓ'. -/
 /-- Construct a continuous linear equivalence from a linear equivalence together with
 bounds in both directions. -/
@@ -261,7 +261,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (NormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (NormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) f x)))) -> (UniformEmbedding.{u3, u4} E F (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u4}} {F : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u4} E] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)] [_inst_6 : NormedSpace.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} E (NormedAddCommGroup.toNorm.{u4} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (NormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f x)))) -> (UniformEmbedding.{u4, u3} E F (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u4}} {F : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u4} E] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)] [_inst_6 : NormedSpace.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} E (NormedAddCommGroup.toNorm.{u4} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (NormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f x)))) -> (UniformEmbedding.{u4, u3} E F (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.uniform_embedding_of_bound ContinuousLinearMap.uniformEmbedding_of_boundₓ'. -/
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     UniformEmbedding f :=
@@ -285,7 +285,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothetyₓ'. -/
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
@@ -305,7 +305,7 @@ include σ₂₁
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) => E -> F) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (forall (y : F), Eq.{1} Real (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) (coeFn.{max (succ u4) (succ u3), max (succ u4) (succ u3)} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5)) (fun (_x : LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5)) => F -> E) (LinearEquiv.hasCoeToFun.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) σ₂₁ σ _inst_8 _inst_7) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8 f) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv a) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) y))))
 but is expected to have type
-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u3, u4} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u3, u4} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (f : LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)), (forall (x : E), Eq.{1} Real (Norm.norm.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, u4, u3, u2, u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x))) -> (forall (y : F), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) y) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) y) _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F E (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F E (AddEquivClass.toEquivLike.{max u2 u1, u1, u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F E (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))) (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, u3, u4, u1, u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) σ₂₁ σ _inst_8 _inst_7))))) (LinearEquiv.symm.{u4, u3, u2, u1} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8 f) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal a) (Norm.norm.{u1} F (SeminormedAddCommGroup.toNorm.{u1} F _inst_4) y))))
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u3, u4} 𝕜₂ 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u3, u4} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (f : LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)), (forall (x : E), Eq.{1} Real (Norm.norm.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, u4, u3, u2, u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x))) -> (forall (y : F), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) y) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) y) _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F E (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F E (AddEquivClass.toEquivLike.{max u2 u1, u1, u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F E (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))) (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, u3, u4, u1, u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) σ₂₁ σ _inst_8 _inst_7))))) (LinearEquiv.symm.{u4, u3, u2, u1} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8 f) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal a) (Norm.norm.{u1} F (SeminormedAddCommGroup.toNorm.{u1} F _inst_4) y))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverseₓ'. -/
 theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E ≃ₛₗ[σ] F) :
     (∀ x : E, ‖f x‖ = a * ‖x‖) → ∀ y : F, ‖f.symm y‖ = a⁻¹ * ‖y‖ :=
@@ -323,7 +323,7 @@ theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) => E -> F) (LinearEquiv.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.of_homothety ContinuousLinearEquiv.ofHomothetyₓ'. -/
 /-- A linear equivalence which is a homothety is a continuous linear equivalence. -/
 noncomputable def ContinuousLinearEquiv.ofHomothety (f : E ≃ₛₗ[σ] F) (a : ℝ) (ha : 0 < a)
@@ -370,7 +370,7 @@ def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (r : 𝕜), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (fun (_x : ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) => 𝕜 -> E) (ContinuousLinearMap.toFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) r x)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (r : 𝕜), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))))) r x)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (r : 𝕜), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))))) r x)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_applyₓ'. -/
 theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
   simp [to_span_singleton, of_homothety, LinearMap.toSpanSingleton]
@@ -380,7 +380,7 @@ theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3))))))) x y)) (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 y))
 but is expected to have type
-  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3))))))) x y)) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 y))
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3))))))) x y)) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 y))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_addₓ'. -/
 theorem toSpanSingleton_add (x y : E) :
     toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y :=
@@ -402,7 +402,7 @@ theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E]
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) c x)) (SMul.smul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toHasSmul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u1, u2} 𝕜 E (CommRing.toCommMonoid.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))))))) c (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x))
 but is expected to have type
-  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))))) c x)) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Module.toMulActionWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3))) (ContinuousLinearMap.module.{u2, u2, u2, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u2, u1} 𝕜 E (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u2, u1} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))))))) c (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x))
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))))) c x)) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Module.toMulActionWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3))) (ContinuousLinearMap.module.{u2, u2, u2, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u2, u1} 𝕜 E (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u2, u1} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))))))) c (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smulₓ'. -/
 theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
     toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
@@ -421,7 +421,7 @@ variable (𝕜)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (SeminormedAddCommGroup.toHasNorm.{u2} (coeSort.{succ u2, succ (succ u2)} 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(SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toAddCommGroup.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (LinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (LinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) c) (Submodule.seminormedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_3 (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E 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(RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
@@ -446,7 +446,7 @@ variable (𝕜)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Subtype.topologicalSpace.{u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) -> (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) -> (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingletonₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
@@ -459,7 +459,7 @@ noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜]
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Subtype.topologicalSpace.{u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord ContinuousLinearEquiv.coordₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural continuous
     linear map from the span of `x` to `𝕜`.-/
@@ -471,7 +471,7 @@ noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))), Eq.{max (succ u2) (succ u1)} ((coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) -> 𝕜) (ContinuousLinearMap.toFun.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Subtype.topologicalSpace.{u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h))
 but is expected to have type
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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.symm.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))), Eq.{max (succ u1) (succ u2)} (forall (ᾰ : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E 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E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symmₓ'. -/
 @[simp]
 theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
@@ -483,7 +483,7 @@ theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) (c : 𝕜), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Subtype.topologicalSpace.{u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) => 𝕜 -> (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Subtype.topologicalSpace.{u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) c
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) 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_inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (fun (a : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) a) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) c
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E 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(NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E 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(UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) c
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingletonₓ'. -/
 @[simp]
 theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
@@ -495,7 +495,7 @@ theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) (y : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))), Eq.{succ u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) y)) y
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (y : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 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_inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 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(Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (fun (_x : 𝕜) => (fun 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) y)) y
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (y : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) 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(Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) y)) y
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coordₓ'. -/
 @[simp]
 theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
@@ -507,7 +507,7 @@ theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Subtype.topologicalSpace.{u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) -> 𝕜) (ContinuousLinearMap.toFun.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 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_inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))))))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) _inst_1)))))))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) 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(NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E 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u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_selfₓ'. -/
 @[simp]
 theorem coord_self (x : E) (h : x ≠ 0) :

bump to nightly-2023-04-27-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

c8f7a684

Diff

@@ -421,7 +421,7 @@ variable (𝕜)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (SeminormedAddCommGroup.toHasNorm.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 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(SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toAddCommGroup.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (LinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (LinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 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_inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 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(SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} 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(SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E 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(Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) c) (Submodule.seminormedAddCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_3 (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (SMulHomClass.toFunLike.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) 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(Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u2, max u1 u2} 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u2, max u1 u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=

bump to nightly-2023-04-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4

574e9440

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 
 ! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit e0e2f10d64d8a5fd11140de398eaa1322eb46c07
+! leanprover-community/mathlib commit 9a48a083b390d9b84a71efbdc4e8dfa26a687104
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -12,6 +12,9 @@ import Mathbin.Analysis.NormedSpace.Basic
 
 /-! # Constructions of continuous linear maps between (semi-)normed spaces
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 A fundamental fact about (semi-)linear maps between normed spaces over sensible fields is that
 continuity and boundedness are equivalent conditions.  That is, for normed spaces `E`, `F`, a
 `linear_map` `f : E →ₛₗ[σ] F` is the coercion of some `continuous_linear_map` `f' : E →SL[σ] F`, if

bump to nightly-2023-04-12-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/039ef89bef6e58b32b62898dd48e9d1a4312bb65

06c79b19

Diff

@@ -52,6 +52,12 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F] [NormedSpace 𝕜 G]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
+/- warning: linear_map.mk_continuous -> LinearMap.mkContinuous is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous LinearMap.mkContinuousₓ'. -/
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.
 The fact that the norm of the continuous linear map is then controlled is given in
 `linear_map.mk_continuous_norm_le`. -/
@@ -59,6 +65,7 @@ def LinearMap.mkContinuous (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) : E
   ⟨f, AddMonoidHomClass.continuous_of_bound f C h⟩
 #align linear_map.mk_continuous LinearMap.mkContinuous
 
+#print LinearMap.toContinuousLinearMap₁ /-
 /-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
 is generalized to the case of any finite dimensional domain
 in `linear_map.to_continuous_linear_map`. -/
@@ -68,7 +75,14 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
       conv_lhs => rw [← mul_one x]
       rw [← smul_eq_mul, f.map_smul, norm_smul, mul_comm]
 #align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
+-/
 
+/- warning: linear_map.mk_continuous_of_exists_bound -> LinearMap.mkContinuousOfExistsBound is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)), (Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBoundₓ'. -/
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `linear_map.mk_continuous` instead, as a norm estimate will
 follow automatically in `linear_map.mk_continuous_norm_le`. -/
@@ -78,6 +92,12 @@ def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖
     AddMonoidHomClass.continuous_of_bound f C hC⟩
 #align linear_map.mk_continuous_of_exists_bound LinearMap.mkContinuousOfExistsBound
 
+/- warning: continuous_of_linear_of_boundₛₗ -> continuous_of_linear_of_boundₛₗ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toHasAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (SMul.smul.{u1, u3} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) 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u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (fun (_x : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) => 𝕜 -> 𝕜₂) (RingHom.hasCoeToFun.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} {f : E -> F}, (forall (x : E) (y : E), Eq.{succ u4} F (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (SeminormedAddGroup.toAddGroup.{u3} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} E _inst_3))))))) x y)) (HAdd.hAdd.{u4, u4, u4} F F F (instHAdd.{u4} F (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (SeminormedAddGroup.toAddGroup.{u4} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} F _inst_4))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u4} F (f (HSMul.hSMul.{u2, u3, u3} 𝕜 E E (instHSMul.{u2, u3} 𝕜 E (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6)))))) c x)) (HSMul.hSMul.{u1, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F F (instHSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (SMulZeroClass.toSMul.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (CommGroupWithZero.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toCommGroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2))))) (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) c) F _inst_2 _inst_4 _inst_7)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 𝕜) => 𝕜₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonUnitalNonAssocSemiring.toMul.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NonUnitalNonAssocSemiring.toMul.{u1} 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))))) (RingHom.instRingHomClassRingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))))))))) σ c) (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (Continuous.{u3, u4} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) f))
+Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗₓ'. -/
 theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = σ c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     Continuous f :=
@@ -88,6 +108,12 @@ theorem continuous_of_linear_of_boundₛₗ {f : E → F} (h_add : ∀ x y, f (x
   AddMonoidHomClass.continuous_of_bound φ C h_bound
 #align continuous_of_linear_of_boundₛₗ continuous_of_linear_of_boundₛₗ
 
+/- warning: continuous_of_linear_of_bound -> continuous_of_linear_of_bound is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {G : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_5 : SeminormedAddCommGroup.{u3} G] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] [_inst_8 : NormedSpace.{u1, u3} 𝕜 G _inst_1 _inst_5] {f : E -> G}, (forall (x : E) (y : E), Eq.{succ u3} G (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3))))))) x y)) (HAdd.hAdd.{u3, u3, u3} G G G (instHAdd.{u3} G (AddZeroClass.toHasAdd.{u3} G (AddMonoid.toAddZeroClass.{u3} G (SubNegMonoid.toAddMonoid.{u3} G (AddGroup.toSubNegMonoid.{u3} G (SeminormedAddGroup.toAddGroup.{u3} G (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} G _inst_5))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u3} G (f (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6))))) c x)) (SMul.smul.{u1, u3} 𝕜 G (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 G (AddZeroClass.toHasZero.{u3} G (AddMonoid.toAddZeroClass.{u3} G (AddCommMonoid.toAddMonoid.{u3} G (AddCommGroup.toAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 G (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} G (AddMonoid.toAddZeroClass.{u3} G (AddCommMonoid.toAddMonoid.{u3} G (AddCommGroup.toAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} G (AddMonoid.toAddZeroClass.{u3} G (AddCommMonoid.toAddMonoid.{u3} G (AddCommGroup.toAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5)) (NormedSpace.toModule.{u1, u3} 𝕜 G _inst_1 _inst_5 _inst_8))))) c (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} G (SeminormedAddCommGroup.toHasNorm.{u3} G _inst_5) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x))) -> (Continuous.{u2, u3} E G (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u3} G (PseudoMetricSpace.toUniformSpace.{u3} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} G _inst_5))) f))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {G : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_5 : SeminormedAddCommGroup.{u3} G] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] [_inst_8 : NormedSpace.{u1, u3} 𝕜 G _inst_1 _inst_5] {f : E -> G}, (forall (x : E) (y : E), Eq.{succ u3} G (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3))))))) x y)) (HAdd.hAdd.{u3, u3, u3} G G G (instHAdd.{u3} G (AddZeroClass.toAdd.{u3} G (AddMonoid.toAddZeroClass.{u3} G (SubNegMonoid.toAddMonoid.{u3} G (AddGroup.toSubNegMonoid.{u3} G (SeminormedAddGroup.toAddGroup.{u3} G (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} G _inst_5))))))) (f x) (f y))) -> (forall (c : 𝕜) (x : E), Eq.{succ u3} G (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)))))) c x)) (HSMul.hSMul.{u1, u3, u3} 𝕜 G G (instHSMul.{u1, u3} 𝕜 G (SMulZeroClass.toSMul.{u1, u3} 𝕜 G (NegZeroClass.toZero.{u3} G (SubNegZeroMonoid.toNegZeroClass.{u3} G (SubtractionMonoid.toSubNegZeroMonoid.{u3} G (SubtractionCommMonoid.toSubtractionMonoid.{u3} G (AddCommGroup.toDivisionAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5)))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 G (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} G (SubNegZeroMonoid.toNegZeroClass.{u3} G (SubtractionMonoid.toSubNegZeroMonoid.{u3} G (SubtractionCommMonoid.toSubtractionMonoid.{u3} G (AddCommGroup.toDivisionAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u3} G (SubNegZeroMonoid.toNegZeroClass.{u3} G (SubtractionMonoid.toSubNegZeroMonoid.{u3} G (SubtractionCommMonoid.toSubtractionMonoid.{u3} G (AddCommGroup.toDivisionAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 G (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} G (SeminormedAddCommGroup.toAddCommGroup.{u3} G _inst_5)) (NormedSpace.toModule.{u1, u3} 𝕜 G _inst_1 _inst_5 _inst_8)))))) c (f x))) -> (forall {C : Real}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u3} G (SeminormedAddCommGroup.toNorm.{u3} G _inst_5) (f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x))) -> (Continuous.{u2, u3} E G (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u3} G (PseudoMetricSpace.toUniformSpace.{u3} G (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} G _inst_5))) f))
+Case conversion may be inaccurate. Consider using '#align continuous_of_linear_of_bound continuous_of_linear_of_boundₓ'. -/
 theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y) = f x + f y)
     (h_smul : ∀ (c : 𝕜) (x), f (c • x) = c • f x) {C : ℝ} (h_bound : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     Continuous f :=
@@ -98,36 +124,72 @@ theorem continuous_of_linear_of_bound {f : E → G} (h_add : ∀ x y, f (x + y)
   AddMonoidHomClass.continuous_of_bound φ C h_bound
 #align continuous_of_linear_of_bound continuous_of_linear_of_bound
 
+/- warning: linear_map.mk_continuous_coe -> LinearMap.mkContinuous_coe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F 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(UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (HasLiftT.mk.{max 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))))) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))), Eq.{max (succ u3) (succ u4)} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.toLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearMap.mkContinuous.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h)) f
+Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_coe LinearMap.mkContinuous_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuous_coe (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     (f.mkContinuous C h : E →ₛₗ[σ] F) = f :=
   rfl
 #align linear_map.mk_continuous_coe LinearMap.mkContinuous_coe
 
+/- warning: linear_map.mk_continuous_apply -> LinearMap.mkContinuous_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuous.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f C h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C : Real) (h : forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E 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𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_apply LinearMap.mkContinuous_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuous_apply (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
     f.mkContinuous C h x = f x :=
   rfl
 #align linear_map.mk_continuous_apply LinearMap.mkContinuous_apply
 
+/- warning: linear_map.mk_continuous_of_exists_bound_coe -> LinearMap.mkContinuousOfExistsBound_coe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ 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(PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜 𝕜₂ 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coeₓ'. -/
 @[simp, norm_cast]
 theorem LinearMap.mkContinuousOfExistsBound_coe (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) :
     (f.mkContinuousOfExistsBound h : E →ₛₗ[σ] F) = f :=
   rfl
 #align linear_map.mk_continuous_of_exists_bound_coe LinearMap.mkContinuousOfExistsBound_coe
 
+/- warning: linear_map.mk_continuous_of_exists_bound_apply -> LinearMap.mkContinuousOfExistsBound_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ 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(NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E 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(PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (LinearMap.mkContinuousOfExistsBound.{u1, u2, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u2, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u1, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (h : Exists.{1} Real (fun (C : Real) => forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x)))) (x : E), Eq.{succ u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F 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𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) (LinearMap.mkContinuousOfExistsBound.{u2, u1, u3, u4} 𝕜 𝕜₂ E F _inst_1 _inst_2 _inst_3 _inst_4 _inst_6 _inst_7 σ f h) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u1, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ) f x)
+Case conversion may be inaccurate. Consider using '#align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_applyₓ'. -/
 @[simp]
 theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) (x : E) :
     f.mkContinuousOfExistsBound h x = f x :=
   rfl
 #align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_apply
 
+/- warning: linear_map.to_continuous_linear_map₁_coe -> LinearMap.toContinuousLinearMap₁_coe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6))))) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (ContinuousLinearMap.toLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f)) f
+Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coeₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
     (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
   rfl
 #align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
 
+/- warning: linear_map.to_continuous_linear_map₁_apply -> LinearMap.toContinuousLinearMap₁_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_6 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (ContinuousLinearMap.toFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (LinearMap.toContinuousLinearMap₁.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) f x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_6 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (f : LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) (x : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) 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(NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u2, u2, u2, u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)))) (LinearMap.toContinuousLinearMap₁.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6 f) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_6) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) f x)
+Case conversion may be inaccurate. Consider using '#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_applyₓ'. -/
 @[simp]
 theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
     f.toContinuousLinearMap₁ x = f x :=
@@ -136,11 +198,23 @@ theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
 
 namespace ContinuousLinearMap
 
+/- warning: continuous_linear_map.antilipschitz_of_bound -> ContinuousLinearMap.antilipschitz_of_bound is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, 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_inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f x)))) -> (AntilipschitzWith.{u3, u4} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4)) K (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x)))) -> (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_boundₓ'. -/
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     AntilipschitzWith K f :=
   AddMonoidHomClass.antilipschitz_of_bound _ h
 #align continuous_linear_map.antilipschitz_of_bound ContinuousLinearMap.antilipschitz_of_bound
 
+/- warning: continuous_linear_map.bound_of_antilipschitz -> ContinuousLinearMap.bound_of_antilipschitz is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (AntilipschitzWith.{u3, u4} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4)) K (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f)) -> (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) f x))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) {K : NNReal}, (AntilipschitzWith.{u2, u1} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4)) K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} 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(x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f)) -> (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_7)))) f x))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitzₓ'. -/
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
   AddMonoidHomClass.bound_of_antilipschitz _ h x
@@ -154,6 +228,12 @@ variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomIn
 
 include σ₂₁
 
+/- warning: linear_equiv.to_continuous_linear_equiv_of_bounds -> LinearEquiv.toContinuousLinearEquivOfBounds is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ 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(AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) => F -> E) (LinearEquiv.hasCoeToFun.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) σ₂₁ σ _inst_10 _inst_9) (LinearEquiv.symm.{u1, 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(NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_6 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_7 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_9 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_10 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (e : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) (C_to : Real) (C_inv : Real), (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10))))) e x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_to (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (forall (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) (SeminormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) x) _inst_3) (FunLike.coe.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F (fun (_x : F) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u4, succ u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (AddEquivClass.toEquivLike.{max u3 u4, u4, u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) F E (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u2, u1, u4, u3} (LinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6)) 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ _inst_10 _inst_9 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) σ₂₁ σ _inst_10 _inst_9))))) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7) σ σ₂₁ _inst_9 _inst_10 e) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C_inv (Norm.norm.{u4} F (SeminormedAddCommGroup.toNorm.{u4} F _inst_4) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_9 _inst_10 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_6) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_7))
+Case conversion may be inaccurate. Consider using '#align linear_equiv.to_continuous_linear_equiv_of_bounds LinearEquiv.toContinuousLinearEquivOfBoundsₓ'. -/
 /-- Construct a continuous linear equivalence from a linear equivalence together with
 bounds in both directions. -/
 def LinearEquiv.toContinuousLinearEquivOfBounds (e : E ≃ₛₗ[σ] F) (C_to C_inv : ℝ)
@@ -174,6 +254,12 @@ variable [NormedAddCommGroup E] [NormedAddCommGroup F] [NormedSpace 𝕜 E] [Nor
 
 variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
+/- warning: continuous_linear_map.uniform_embedding_of_bound -> ContinuousLinearMap.uniformEmbedding_of_bound is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u3} E] [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} E (NormedAddCommGroup.toHasNorm.{u3} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) K) (Norm.norm.{u4} F (NormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) f x)))) -> (UniformEmbedding.{u3, u4} E F (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_3) _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_6)) f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u1}} {E : Type.{u4}} {F : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : NormedField.{u1} 𝕜₂] [_inst_3 : NormedAddCommGroup.{u4} E] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)] [_inst_6 : NormedSpace.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {σ : RingHom.{u2, u1} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} (f : ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) {K : NNReal}, (forall (x : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} E (NormedAddCommGroup.toNorm.{u4} E _inst_3) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (NNReal.toReal K) (Norm.norm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (NormedAddCommGroup.toNorm.{u3} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f x)))) -> (UniformEmbedding.{u4, u3} E F (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3))) (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u4 u3, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) E F (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u4 u3, u2, u1, u4, u3} (ContinuousLinearMap.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u4} E (PseudoMetricSpace.toUniformSpace.{u4} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3)))) (AddCommGroup.toAddCommMonoid.{u4} E (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_3) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜₂ F _inst_2 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_6)))) f))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.uniform_embedding_of_bound ContinuousLinearMap.uniformEmbedding_of_boundₓ'. -/
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     UniformEmbedding f :=
   (AddMonoidHomClass.antilipschitz_of_bound f hf).UniformEmbedding f.UniformContinuous
@@ -192,6 +278,12 @@ variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
+/- warning: continuous_linear_map.of_homothety -> ContinuousLinearMap.ofHomothety is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) => E -> F) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toHasNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.of_homothety ContinuousLinearMap.ofHomothetyₓ'. -/
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
     Since the field `𝕜` need not have `ℝ` as a subfield, this theorem is not directly deducible from
     the corresponding theorem about isometries plus a theorem about scalar multiplication.  Likewise
@@ -206,6 +298,12 @@ variable {σ₂₁ : 𝕜₂ →+* 𝕜} [RingHomInvPair σ σ₂₁] [RingHomIn
 
 include σ₂₁
 
+/- warning: continuous_linear_equiv.homothety_inverse -> ContinuousLinearEquiv.homothety_inverse is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)), (forall (x : E), Eq.{1} Real (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (fun (_x : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) 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σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5)) => F -> E) (LinearEquiv.hasCoeToFun.{u2, u1, u4, u3} 𝕜₂ 𝕜 F E (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) σ₂₁ σ _inst_8 _inst_7) (LinearEquiv.symm.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8 f) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv a) (Norm.norm.{u4} F (SeminormedAddCommGroup.toHasNorm.{u4} F _inst_4) y))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedField.{u3} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : SeminormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u3, u1} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u3, u4} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (NormedRing.toRing.{u4} 𝕜 (NormedCommRing.toNormedRing.{u4} 𝕜 (NormedField.toNormedCommRing.{u4} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u4, u3} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u3, u4} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ] (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (f : LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)), (forall (x : E), Eq.{1} Real (Norm.norm.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 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_inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u2 u1, u2, u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{u1} F (AddMonoid.toAddZeroClass.{u1} F (AddCommMonoid.toAddMonoid.{u1} F (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u2 u1, u4, u3, u2, u1} (LinearEquiv.{u4, u3, u2, u1} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 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F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x))) -> (forall (y : F), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) y) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) y) _inst_3) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5)) F (fun (_x : F) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : F) => E) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u1, succ u2} (LinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) 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_inst_1)))) σ₂₁ σ _inst_8 _inst_7 F E (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u3, u4, u1, u2} 𝕜₂ 𝕜 F E (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) σ₂₁ σ _inst_8 _inst_7))))) (LinearEquiv.symm.{u4, u3, u2, u1} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u3, u1} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8 f) y)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal a) (Norm.norm.{u1} F (SeminormedAddCommGroup.toNorm.{u1} F _inst_4) y))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverseₓ'. -/
 theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E ≃ₛₗ[σ] F) :
     (∀ x : E, ‖f x‖ = a * ‖x‖) → ∀ y : F, ‖f.symm y‖ = a⁻¹ * ‖y‖ :=
   by
@@ -218,6 +316,12 @@ theorem ContinuousLinearEquiv.homothety_inverse (a : ℝ) (ha : 0 < a) (f : E 
   rw [← mul_assoc, inv_mul_cancel (ne_of_lt ha).symm, one_mul]
 #align continuous_linear_equiv.homothety_inverse ContinuousLinearEquiv.homothety_inverse
 
+/- warning: continuous_linear_equiv.of_homothety -> ContinuousLinearEquiv.ofHomothety is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ 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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedField.{u2} 𝕜₂] [_inst_3 : SeminormedAddCommGroup.{u3} E] [_inst_4 : SeminormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 E _inst_1 _inst_3] [_inst_6 : NormedSpace.{u2, u4} 𝕜₂ F _inst_2 _inst_4] {σ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {σ₂₁ : RingHom.{u2, u1} 𝕜₂ 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))} [_inst_7 : RingHomInvPair.{u1, u2} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁] [_inst_8 : RingHomInvPair.{u2, u1} 𝕜₂ 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) σ₂₁ σ] (f : LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) (a : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (x : E), Eq.{1} Real (Norm.norm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) (SeminormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) x) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E (fun (_x : E) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (EquivLike.toEmbeddingLike.{max (succ u3) (succ u4), succ u3, succ u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddEquivClass.toEquivLike.{max u3 u4, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) E F (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3))))) (AddZeroClass.toAdd.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4))))) (SemilinearEquivClass.toAddEquivClass.{max u3 u4, u1, u2, u3, u4} (LinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6)) 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E F (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6) σ σ₂₁ _inst_7 _inst_8))))) f x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) a (Norm.norm.{u3} E (SeminormedAddCommGroup.toNorm.{u3} E _inst_3) x))) -> (ContinuousLinearEquiv.{u1, u2, u3, u4} 𝕜 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ σ₂₁ _inst_7 _inst_8 E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E _inst_3)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F _inst_4))) (AddCommGroup.toAddCommMonoid.{u4} F (SeminormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E _inst_1 _inst_3 _inst_5) (NormedSpace.toModule.{u2, u4} 𝕜₂ F _inst_2 _inst_4 _inst_6))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.of_homothety ContinuousLinearEquiv.ofHomothetyₓ'. -/
 /-- A linear equivalence which is a homothety is a continuous linear equivalence. -/
 noncomputable def ContinuousLinearEquiv.ofHomothety (f : E ≃ₛₗ[σ] F) (a : ℝ) (ha : 0 < a)
     (hf : ∀ x, ‖f x‖ = a * ‖x‖) : E ≃SL[σ] F :=
@@ -238,6 +342,12 @@ namespace ContinuousLinearMap
 
 variable (𝕜)
 
+/- warning: continuous_linear_map.to_span_singleton_homothety -> ContinuousLinearMap.toSpanSingleton_homothety is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) => 𝕜 -> E) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) c))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) c) (SeminormedAddCommGroup.toNorm.{u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) c) _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) 𝕜 E (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : 𝕜) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (Semiring.toModule.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.toSpanSingleton.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothetyₓ'. -/
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ :=
   by
@@ -245,16 +355,30 @@ theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
   exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
 
+#print ContinuousLinearMap.toSpanSingleton /-
 /-- Given an element `x` of a normed space `E` over a field `𝕜`, the natural continuous
     linear map from `𝕜` to `E` by taking multiples of `x`.-/
 def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
   ofHomothety (LinearMap.toSpanSingleton 𝕜 E x) ‖x‖ (toSpanSingleton_homothety 𝕜 x)
 #align continuous_linear_map.to_span_singleton ContinuousLinearMap.toSpanSingleton
+-/
 
+/- warning: continuous_linear_map.to_span_singleton_apply -> ContinuousLinearMap.toSpanSingleton_apply is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (r : 𝕜), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) r x)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (r : 𝕜), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => E) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) r) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))))) r x)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_applyₓ'. -/
 theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
   simp [to_span_singleton, of_homothety, LinearMap.toSpanSingleton]
 #align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_apply
 
+/- warning: continuous_linear_map.to_span_singleton_add -> ContinuousLinearMap.toSpanSingleton_add is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3))))))) x y)) (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 y))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (x : E) (y : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3))))))) x y)) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHAdd.{max u2 u1} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.add.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 y))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_addₓ'. -/
 theorem toSpanSingleton_add (x y : E) :
     toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y :=
   by
@@ -262,13 +386,21 @@ theorem toSpanSingleton_add (x y : E) :
   simp [to_span_singleton_apply]
 #align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_add
 
+#print ContinuousLinearMap.toSpanSingleton_smul' /-
 theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E] [SMulCommClass 𝕜 𝕜' E]
     (c : 𝕜') (x : E) : toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
   by
   ext1
   rw [to_span_singleton_apply, smul_apply, to_span_singleton_apply, smul_comm]
 #align continuous_linear_map.to_span_singleton_smul' ContinuousLinearMap.toSpanSingleton_smul'
+-/
 
+/- warning: continuous_linear_map.to_span_singleton_smul -> ContinuousLinearMap.toSpanSingleton_smul is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u1) (succ u2)} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 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(AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) c x)) (SMul.smul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toHasSmul.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddMonoid.toAddZeroClass.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (AddCommMonoid.toAddMonoid.{max u1 u2} (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3)))))) (Module.toMulActionWithZero.{u1, max u1 u2} 𝕜 (ContinuousLinearMap.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))) (ContinuousLinearMap.module.{u1, u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u1, u2} 𝕜 E (CommRing.toCommMonoid.{u1} 𝕜 (SeminormedCommRing.toCommRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (LipschitzAdd.continuousAdd.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_3) (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_3)))) (SeminormedAddCommGroup.to_lipschitzAdd.{u2} E _inst_3))))))) c (ContinuousLinearMap.toSpanSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u1} E] [_inst_4 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_3] (c : 𝕜) (x : E), Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))))) c x)) (HSMul.hSMul.{u2, max u2 u1, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (instHSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulZeroClass.toSMul.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.zero.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (Module.toMulActionWithZero.{u2, max u2 u1} 𝕜 (ContinuousLinearMap.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (ContinuousLinearMap.addCommMonoid.{u2, u2, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3))) (ContinuousLinearMap.module.{u2, u2, u2, u2, u1} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u2, u2} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u2} 𝕜 _inst_1)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4) (smulCommClass_self.{u2, u1} 𝕜 E (CommRing.toCommMonoid.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (MulActionWithZero.toMulAction.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4)))) (ContinuousSMul.continuousConstSMul.{u2, u1} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (BoundedSMul.continuousSMul.{u2, u1} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_3)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))))) (NormedSpace.boundedSMul.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4))) (RingHom.id.{u2} 𝕜 (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))) (TopologicalAddGroup.toContinuousAdd.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_3))) (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E _inst_3)) (SeminormedAddCommGroup.to_topologicalAddGroup.{u1} E _inst_3)))))))) c (ContinuousLinearMap.toSpanSingleton.{u2, u1} 𝕜 E _inst_1 _inst_3 _inst_4 x))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smulₓ'. -/
 theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
     toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
   toSpanSingleton_smul' 𝕜 𝕜 c x
@@ -282,6 +414,12 @@ namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
+/- warning: continuous_linear_equiv.to_span_nonzero_singleton_homothety -> ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : SeminormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_3] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{1} Real (Norm.norm.{u2} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) 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(AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (SMulZeroClass.toSMul.{u1, u1} 𝕜 𝕜 (AddMonoid.toZero.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribSMul.toSMulZeroClass.{u1, u1} 𝕜 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))))) (DistribMulAction.toDistribSMul.{u1, u1} 𝕜 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toZero.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribSMul.toSMulZeroClass.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddMonoid.toAddZeroClass.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))) (DistribMulAction.toDistribSMul.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u1, u1, u2} (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (AddCommMonoid.toAddMonoid.{u1} 𝕜 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))) (AddCommMonoid.toAddMonoid.{u2} (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (Module.toDistribMulAction.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Module.toDistribMulAction.{u1, u2} 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 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_inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) 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(Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (LinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalCommRing.toNonUnitalRing.{u1} 𝕜 (CommRing.toNonUnitalCommRing.{u1} 𝕜 (Field.toCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (LinearMap.instModuleToSemiringToDivisionSemiringToSemifieldToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRingToNonUnitalCommRingToCommRing.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))))))) (LinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E (NormedField.toField.{u1} 𝕜 _inst_1) (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4) x h) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_3) x) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) c))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothetyₓ'. -/
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
   ContinuousLinearMap.toSpanSingleton_homothety _ _ _
@@ -301,6 +439,12 @@ namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
+/- warning: continuous_linear_equiv.to_span_nonzero_singleton -> ContinuousLinearEquiv.toSpanNonzeroSingleton is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) 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(SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) -> (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 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_inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingletonₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
 noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜] 𝕜 ∙ x :=
@@ -308,30 +452,60 @@ noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜]
     (toSpanNonzeroSingleton_homothety 𝕜 x h)
 #align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingleton
 
+/- warning: continuous_linear_equiv.coord -> ContinuousLinearEquiv.coord is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E), (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) -> (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord ContinuousLinearEquiv.coordₓ'. -/
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural continuous
     linear map from the span of `x` to `𝕜`.-/
 noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
   (toSpanNonzeroSingleton 𝕜 x h).symm
 #align continuous_linear_equiv.coord ContinuousLinearEquiv.coord
 
+/- warning: continuous_linear_equiv.coe_to_span_nonzero_singleton_symm -> ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm is a dubious translation:
+lean 3 declaration is
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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (fun (_x : ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (coeSort.{succ u2, 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, 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+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))), Eq.{max (succ u1) (succ u2)} (forall (ᾰ : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E 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E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearEquiv.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 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(Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 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+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symmₓ'. -/
 @[simp]
 theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
     ⇑(toSpanNonzeroSingleton 𝕜 x h).symm = coord 𝕜 x h :=
   rfl
 #align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm
 
+/- warning: continuous_linear_equiv.coord_to_span_nonzero_singleton -> ContinuousLinearEquiv.coord_toSpanNonzeroSingleton is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) (c : 𝕜), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (fun (_x : ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) => 𝕜 -> (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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_inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (ContinuousLinearEquiv.hasCoeToFun.{u1, u1, u1, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_1.{u1} 𝕜 _inst_1) (ContinuousLinearEquiv.toSpanNonzeroSingleton._proof_2.{u1} 𝕜 _inst_1) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) c
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (c : 𝕜), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) a) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (fun (_x : 𝕜) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : 𝕜) => Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) _x) (ContinuousMapClass.toFunLike.{max u1 u2, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) 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(DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))))))) (ContinuousLinearEquiv.toSpanNonzeroSingleton.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) c)) c
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingletonₓ'. -/
 @[simp]
 theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
     coord 𝕜 x h (toSpanNonzeroSingleton 𝕜 x h c) = c :=
   (toSpanNonzeroSingleton 𝕜 x h).symm_apply_apply c
 #align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingleton
 
+/- warning: continuous_linear_equiv.to_span_nonzero_singleton_coord -> ContinuousLinearEquiv.toSpanNonzeroSingleton_coord is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_3)))))))))) (y : coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E 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+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] {x : E} (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))) (y : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) 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(UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 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(SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (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 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousSemilinearEquivClass.continuousSemilinearMapClass.{max u1 u2, u1, u1, u1, u2} (ContinuousLinearEquiv.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (ContinuousLinearEquiv.continuousSemilinearEquivClass.{u1, u1, u1, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (RingHomInvPair.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1)) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 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(ContinuousLinearEquiv.coord.{u1, u2} 𝕜 E _inst_1 _inst_3 _inst_4 x h) y)) y
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coordₓ'. -/
 @[simp]
 theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
     toSpanNonzeroSingleton 𝕜 x h (coord 𝕜 x h y) = y :=
   (toSpanNonzeroSingleton 𝕜 x h).apply_symm_apply y
 #align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coord
 
+/- warning: continuous_linear_equiv.coord_self -> ContinuousLinearEquiv.coord_self is a dubious translation:
+lean 3 declaration is
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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_3 : NormedAddCommGroup.{u2} E] [_inst_4 : NormedSpace.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3)] (x : E) (h : Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3))))))))), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 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(Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) 𝕜 (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u1, u1, u2, u1} (ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) (Submodule.module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (NormedField.toNormedSpace.{u1} 𝕜 _inst_1))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) (instTopologicalSpaceSubtype.{u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3))))) (Submodule.addCommMonoid.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{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 _inst_1))))))) 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u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (NormedCommRing.toNormedRing.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) (NormedField.toNormedCommRing.{u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : Subtype.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)))) => 𝕜) (Subtype.mk.{succ u2} E (fun (x_1 : E) => Membership.mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4)) E (Submodule.setLike.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4))) x_1 (Submodule.span.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x))) x (Submodule.mem_span_singleton_self.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_3)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_3) _inst_4) x))) _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_selfₓ'. -/
 @[simp]
 theorem coord_self (x : E) (h : x ≠ 0) :
     (coord 𝕜 x h) (⟨x, Submodule.mem_span_singleton_self x⟩ : 𝕜 ∙ x) = 1 :=

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

chore(*): remove empty lines between variable statements (#11418)

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)

75c86f04

Diff

@@ -41,11 +41,8 @@ variable {𝕜 𝕜₂ E F G : Type*}
 section SeminormedAddCommGroup
 
 variable [Ring 𝕜] [Ring 𝕜₂]
-
 variable [SeminormedAddCommGroup E] [SeminormedAddCommGroup F] [SeminormedAddCommGroup G]
-
 variable [Module 𝕜 E] [Module 𝕜₂ F] [Module 𝕜 G]
-
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
 /-- Construct a continuous linear map from a linear map and a bound on this linear map.

feat(NormedSpace): Move toSpanNonzeroSingleton to new file and add LinearIsometryEquiv (#10118)

7bb42396

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2019 Jan-David Salchow. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 -/
-import Mathlib.Analysis.NormedSpace.Basic
 import Mathlib.Topology.Algebra.Module.Basic
+import Mathlib.Analysis.Normed.MulAction
 
 #align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"fe18deda804e30c594e75a6e5fe0f7d14695289f"
 
@@ -216,81 +216,3 @@ noncomputable def ContinuousLinearEquiv.ofHomothety (f : E ≃ₛₗ[σ] F) (a :
 #align continuous_linear_equiv.of_homothety ContinuousLinearEquiv.ofHomothety
 
 end Seminormed
-
-/-! ## The span of a single vector -/
-
-namespace ContinuousLinearMap
-
-variable (𝕜)
-
-section Seminormed
-
-variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
-
-theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
-    ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by
-  rw [mul_comm]
-  exact norm_smul _ _
-#align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
-
-end Seminormed
-
-end ContinuousLinearMap
-
-namespace ContinuousLinearEquiv
-
-variable (𝕜)
-
-section Seminormed
-variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
-
-theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
-    ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
-  ContinuousLinearMap.toSpanSingleton_homothety _ _ _
-#align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety
-
-end Seminormed
-
-section Normed
-variable [NormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜 E]
-
-/-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
-    continuous linear equivalence from `E₁` to the span of `x`.-/
-noncomputable def toSpanNonzeroSingleton (x : E) (h : x ≠ 0) : 𝕜 ≃L[𝕜] 𝕜 ∙ x :=
-  ofHomothety (LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h) ‖x‖ (norm_pos_iff.mpr h)
-    (toSpanNonzeroSingleton_homothety 𝕜 x h)
-#align continuous_linear_equiv.to_span_nonzero_singleton ContinuousLinearEquiv.toSpanNonzeroSingleton
-
-/-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural continuous
-    linear map from the span of `x` to `𝕜`.-/
-noncomputable def coord (x : E) (h : x ≠ 0) : (𝕜 ∙ x) →L[𝕜] 𝕜 :=
-  (toSpanNonzeroSingleton 𝕜 x h).symm
-#align continuous_linear_equiv.coord ContinuousLinearEquiv.coord
-
-@[simp]
-theorem coe_toSpanNonzeroSingleton_symm {x : E} (h : x ≠ 0) :
-    ⇑(toSpanNonzeroSingleton 𝕜 x h).symm = coord 𝕜 x h :=
-  rfl
-#align continuous_linear_equiv.coe_to_span_nonzero_singleton_symm ContinuousLinearEquiv.coe_toSpanNonzeroSingleton_symm
-
-@[simp]
-theorem coord_toSpanNonzeroSingleton {x : E} (h : x ≠ 0) (c : 𝕜) :
-    coord 𝕜 x h (toSpanNonzeroSingleton 𝕜 x h c) = c :=
-  (toSpanNonzeroSingleton 𝕜 x h).symm_apply_apply c
-#align continuous_linear_equiv.coord_to_span_nonzero_singleton ContinuousLinearEquiv.coord_toSpanNonzeroSingleton
-
-@[simp]
-theorem toSpanNonzeroSingleton_coord {x : E} (h : x ≠ 0) (y : 𝕜 ∙ x) :
-    toSpanNonzeroSingleton 𝕜 x h (coord 𝕜 x h y) = y :=
-  (toSpanNonzeroSingleton 𝕜 x h).apply_symm_apply y
-#align continuous_linear_equiv.to_span_nonzero_singleton_coord ContinuousLinearEquiv.toSpanNonzeroSingleton_coord
-
-@[simp]
-theorem coord_self (x : E) (h : x ≠ 0) :
-    (coord 𝕜 x h) (⟨x, Submodule.mem_span_singleton_self x⟩ : 𝕜 ∙ x) = 1 :=
-  LinearEquiv.coord_self 𝕜 E x h
-#align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_self
-
-end Normed
-
-end ContinuousLinearEquiv

chore(NormedSpace/Basic): move some theorems to NormedSpace.Real (#10206)

This way we don't switch between general normed spaces and real normed spaces back and forth throughout the file.

d78efd06

Diff

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 -/
 import Mathlib.Analysis.NormedSpace.Basic
+import Mathlib.Topology.Algebra.Module.Basic
 
 #align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"fe18deda804e30c594e75a6e5fe0f7d14695289f"

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -33,7 +33,7 @@ open Set Real
 
 open NNReal
 
-variable {𝕜 𝕜₂ E F G : Type _}
+variable {𝕜 𝕜₂ E F G : Type*}
 
 /-! # General constructions -/

chore(Analysis/NormedSpace/ContinuousLinearMap): forward-port leanprover-community/mathlib#19108 (#6217)

e4268cf5

Diff

@@ -5,7 +5,7 @@ Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 -/
 import Mathlib.Analysis.NormedSpace.Basic
 
-#align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"
+#align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"fe18deda804e30c594e75a6e5fe0f7d14695289f"
 
 /-! # Constructions of continuous linear maps between (semi-)normed spaces
 
@@ -35,16 +35,15 @@ open NNReal
 
 variable {𝕜 𝕜₂ E F G : Type _}
 
-variable [NormedField 𝕜] [NormedField 𝕜₂]
-
 /-! # General constructions -/
 
+section SeminormedAddCommGroup
 
-section Seminormed
+variable [Ring 𝕜] [Ring 𝕜₂]
 
 variable [SeminormedAddCommGroup E] [SeminormedAddCommGroup F] [SeminormedAddCommGroup G]
 
-variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F] [NormedSpace 𝕜 G]
+variable [Module 𝕜 E] [Module 𝕜₂ F] [Module 𝕜 G]
 
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
@@ -55,16 +54,6 @@ def LinearMap.mkContinuous (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) : E
   ⟨f, AddMonoidHomClass.continuous_of_bound f C h⟩
 #align linear_map.mk_continuous LinearMap.mkContinuous
 
-/-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
-is generalized to the case of any finite dimensional domain
-in `LinearMap.toContinuousLinearMap`. -/
-def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
-  f.mkContinuous ‖f 1‖ fun x =>
-    le_of_eq <| by
-      conv_lhs => rw [← mul_one x]
-      rw [← smul_eq_mul, f.map_smul, norm_smul, mul_comm]
-#align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
-
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `LinearMap.mkContinuous` instead, as a norm estimate will
 follow automatically in `LinearMap.mkContinuous_norm_le`. -/
@@ -118,18 +107,6 @@ theorem LinearMap.mkContinuousOfExistsBound_apply (h : ∃ C, ∀ x, ‖f x‖ 
   rfl
 #align linear_map.mk_continuous_of_exists_bound_apply LinearMap.mkContinuousOfExistsBound_apply
 
-@[simp]
-theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
-    (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
-  rfl
-#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
-
-@[simp]
-theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
-    f.toContinuousLinearMap₁ x = f x :=
-  rfl
-#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_apply
-
 namespace ContinuousLinearMap
 
 theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
@@ -159,12 +136,38 @@ def LinearEquiv.toContinuousLinearEquivOfBounds (e : E ≃ₛₗ[σ] F) (C_to C_
 
 end
 
-end Seminormed
+end SeminormedAddCommGroup
 
-section Normed
+section SeminormedBounded
+variable [SeminormedRing 𝕜] [Ring 𝕜₂] [SeminormedAddCommGroup E]
+variable [Module 𝕜 E] [BoundedSMul 𝕜 E]
+
+/-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
+is generalized to the case of any finite dimensional domain
+in `LinearMap.toContinuousLinearMap`. -/
+def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
+  f.mkContinuous ‖f 1‖ fun x => by
+    conv_lhs => rw [← mul_one x]
+    rw [← smul_eq_mul, f.map_smul, mul_comm]; exact norm_smul_le _ _
+#align linear_map.to_continuous_linear_map₁ LinearMap.toContinuousLinearMap₁
 
-variable [NormedAddCommGroup E] [NormedAddCommGroup F] [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
+@[simp]
+theorem LinearMap.toContinuousLinearMap₁_coe (f : 𝕜 →ₗ[𝕜] E) :
+    (f.toContinuousLinearMap₁ : 𝕜 →ₗ[𝕜] E) = f :=
+  rfl
+#align linear_map.to_continuous_linear_map₁_coe LinearMap.toContinuousLinearMap₁_coe
 
+@[simp]
+theorem LinearMap.toContinuousLinearMap₁_apply (f : 𝕜 →ₗ[𝕜] E) (x) :
+    f.toContinuousLinearMap₁ x = f x :=
+  rfl
+#align linear_map.to_continuous_linear_map₁_apply LinearMap.toContinuousLinearMap₁_apply
+
+end SeminormedBounded
+
+section Normed
+variable [Ring 𝕜] [Ring 𝕜₂]
+variable [NormedAddCommGroup E] [NormedAddCommGroup F] [Module 𝕜 E] [Module 𝕜₂ F]
 variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
@@ -176,13 +179,10 @@ end Normed
 
 /-! ## Homotheties -/
 
-
 section Seminormed
-
+variable [Ring 𝕜] [Ring 𝕜₂]
 variable [SeminormedAddCommGroup E] [SeminormedAddCommGroup F]
-
-variable [NormedSpace 𝕜 E] [NormedSpace 𝕜₂ F]
-
+variable [Module 𝕜 E] [Module 𝕜₂ F]
 variable {σ : 𝕜 →+* 𝕜₂} (f : E →ₛₗ[σ] F)
 
 /-- A (semi-)linear map which is a homothety is a continuous linear map.
@@ -218,47 +218,40 @@ end Seminormed
 
 /-! ## The span of a single vector -/
 
-
-section Seminormed
-
-variable [SeminormedAddCommGroup E] [NormedSpace 𝕜 E]
-
 namespace ContinuousLinearMap
 
 variable (𝕜)
 
+section Seminormed
+
+variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
+
 theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
     ‖LinearMap.toSpanSingleton 𝕜 E x c‖ = ‖x‖ * ‖c‖ := by
   rw [mul_comm]
   exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
 
-end ContinuousLinearMap
+end Seminormed
 
-section
+end ContinuousLinearMap
 
 namespace ContinuousLinearEquiv
 
 variable (𝕜)
 
+section Seminormed
+variable [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E] [Module 𝕜 E] [BoundedSMul 𝕜 E]
+
 theorem toSpanNonzeroSingleton_homothety (x : E) (h : x ≠ 0) (c : 𝕜) :
     ‖LinearEquiv.toSpanNonzeroSingleton 𝕜 E x h c‖ = ‖x‖ * ‖c‖ :=
   ContinuousLinearMap.toSpanSingleton_homothety _ _ _
 #align continuous_linear_equiv.to_span_nonzero_singleton_homothety ContinuousLinearEquiv.toSpanNonzeroSingleton_homothety
 
-end ContinuousLinearEquiv
-
-end
-
 end Seminormed
 
 section Normed
-
-variable [NormedAddCommGroup E] [NormedSpace 𝕜 E]
-
-namespace ContinuousLinearEquiv
-
-variable (𝕜)
+variable [NormedField 𝕜] [NormedAddCommGroup E] [NormedSpace 𝕜 E]
 
 /-- Given a nonzero element `x` of a normed space `E₁` over a field `𝕜`, the natural
     continuous linear equivalence from `E₁` to the span of `x`.-/
@@ -297,6 +290,6 @@ theorem coord_self (x : E) (h : x ≠ 0) :
   LinearEquiv.coord_self 𝕜 E x h
 #align continuous_linear_equiv.coord_self ContinuousLinearEquiv.coord_self
 
-end ContinuousLinearEquiv
-
 end Normed
+
+end ContinuousLinearEquiv

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Jan-David Salchow. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-
-! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.Basic
 
+#align_import analysis.normed_space.continuous_linear_map from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"
+
 /-! # Constructions of continuous linear maps between (semi-)normed spaces
 
 A fundamental fact about (semi-)linear maps between normed spaces over sensible fields is that

chore: forward-port leanprover-community/mathlib#19103 (#5855)

10c93ae2

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 
 ! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit 6285167a053ad0990fc88e56c48ccd9fae6550eb
+! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -142,7 +142,7 @@ theorem antilipschitz_of_bound (f : E →SL[σ] F) {K : ℝ≥0} (h : ∀ x, ‖
 
 theorem bound_of_antilipschitz (f : E →SL[σ] F) {K : ℝ≥0} (h : AntilipschitzWith K f) (x) :
     ‖x‖ ≤ K * ‖f x‖ :=
-  AddMonoidHomClass.bound_of_antilipschitz _ h x
+  ZeroHomClass.bound_of_antilipschitz _ h x
 #align continuous_linear_map.bound_of_antilipschitz ContinuousLinearMap.bound_of_antilipschitz
 
 end ContinuousLinearMap

6285167a

chore: forward-port leanprover-community/mathlib#19116 (#5410)

87fdcaf6

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
 
 ! This file was ported from Lean 3 source module analysis.normed_space.continuous_linear_map
-! leanprover-community/mathlib commit e0e2f10d64d8a5fd11140de398eaa1322eb46c07
+! leanprover-community/mathlib commit 6285167a053ad0990fc88e56c48ccd9fae6550eb
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -236,33 +236,6 @@ theorem toSpanSingleton_homothety (x : E) (c : 𝕜) :
   exact norm_smul _ _
 #align continuous_linear_map.to_span_singleton_homothety ContinuousLinearMap.toSpanSingleton_homothety
 
-/-- Given an element `x` of a normed space `E` over a field `𝕜`, the natural continuous
-    linear map from `𝕜` to `E` by taking multiples of `x`.-/
-def toSpanSingleton (x : E) : 𝕜 →L[𝕜] E :=
-  ofHomothety (LinearMap.toSpanSingleton 𝕜 E x) ‖x‖ (toSpanSingleton_homothety 𝕜 x)
-#align continuous_linear_map.to_span_singleton ContinuousLinearMap.toSpanSingleton
-
-theorem toSpanSingleton_apply (x : E) (r : 𝕜) : toSpanSingleton 𝕜 x r = r • x := by
-  simp [toSpanSingleton, ofHomothety, LinearMap.toSpanSingleton]
-#align continuous_linear_map.to_span_singleton_apply ContinuousLinearMap.toSpanSingleton_apply
-
-theorem toSpanSingleton_add (x y : E) :
-    toSpanSingleton 𝕜 (x + y) = toSpanSingleton 𝕜 x + toSpanSingleton 𝕜 y := by
-  ext1
-  simp [toSpanSingleton_apply]
-#align continuous_linear_map.to_span_singleton_add ContinuousLinearMap.toSpanSingleton_add
-
-theorem toSpanSingleton_smul' (𝕜') [NormedField 𝕜'] [NormedSpace 𝕜' E] [SMulCommClass 𝕜 𝕜' E]
-    (c : 𝕜') (x : E) : toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x := by
-  ext1
-  rw [toSpanSingleton_apply, smul_apply, toSpanSingleton_apply, smul_comm]
-#align continuous_linear_map.to_span_singleton_smul' ContinuousLinearMap.toSpanSingleton_smul'
-
-theorem toSpanSingleton_smul (c : 𝕜) (x : E) :
-    toSpanSingleton 𝕜 (c • x) = c • toSpanSingleton 𝕜 x :=
-  toSpanSingleton_smul' 𝕜 𝕜 c x
-#align continuous_linear_map.to_span_singleton_smul ContinuousLinearMap.toSpanSingleton_smul
-
 end ContinuousLinearMap
 
 section

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -30,7 +30,6 @@ This file is meant to be lightweight (it is imported by much of the analysis lib
 before adding imports!
 -/
 
-set_option synthInstance.etaExperiment true -- Porting note: gets around lean4#2074
 open Metric ContinuousLinearMap
 
 open Set Real

chore: fix #align lines (#3640)

This PR fixes two things:

Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)

2b42dc7c

Diff

@@ -174,8 +174,7 @@ variable {σ : 𝕜 →+* 𝕜₂} (f g : E →SL[σ] F) (x y z : E)
 theorem ContinuousLinearMap.uniformEmbedding_of_bound {K : ℝ≥0} (hf : ∀ x, ‖x‖ ≤ K * ‖f x‖) :
     UniformEmbedding f :=
   (AddMonoidHomClass.antilipschitz_of_bound f hf).uniformEmbedding f.uniformContinuous
-#align continuous_linear_map.uniform_embedding_of_bound
-  ContinuousLinearMap.uniformEmbedding_of_bound
+#align continuous_linear_map.uniform_embedding_of_bound ContinuousLinearMap.uniformEmbedding_of_bound
 
 end Normed

chore: tidy various files (#3530)

8cf71b01

Diff

@@ -61,7 +61,7 @@ def LinearMap.mkContinuous (C : ℝ) (h : ∀ x, ‖f x‖ ≤ C * ‖x‖) : E
 
 /-- Reinterpret a linear map `𝕜 →ₗ[𝕜] E` as a continuous linear map. This construction
 is generalized to the case of any finite dimensional domain
-in `linear_map.to_continuous_linear_map`. -/
+in `LinearMap.toContinuousLinearMap`. -/
 def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[𝕜] E :=
   f.mkContinuous ‖f 1‖ fun x =>
     le_of_eq <| by
@@ -71,7 +71,7 @@ def LinearMap.toContinuousLinearMap₁ (f : 𝕜 →ₗ[𝕜] E) : 𝕜 →L[
 
 /-- Construct a continuous linear map from a linear map and the existence of a bound on this linear
 map. If you have an explicit bound, use `LinearMap.mkContinuous` instead, as a norm estimate will
-follow automatically in `linear_map.mk_continuous_norm_le`. -/
+follow automatically in `LinearMap.mkContinuous_norm_le`. -/
 def LinearMap.mkContinuousOfExistsBound (h : ∃ C, ∀ x, ‖f x‖ ≤ C * ‖x‖) : E →SL[σ] F :=
   ⟨f,
     let ⟨C, hC⟩ := h