analysis.normed_space.extend ⟷ Mathlib.Analysis.NormedSpace.Extend

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

@@ -3,9 +3,9 @@ Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 -/
-import Analysis.NormedSpace.OperatorNorm
+import Analysis.NormedSpace.OperatorNorm.Basic
 import Algebra.Algebra.RestrictScalars
-import Data.IsROrC.Basic
+import Analysis.RCLike.Basic
 
 #align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
 
@@ -36,11 +36,11 @@ Alternate forms which operate on `[is_scalar_tower ℝ 𝕜 F]` instead are prov
 -/
 
 
-open IsROrC
+open RCLike
 
 open scoped ComplexConjugate
 
-variable {𝕜 : Type _} [IsROrC 𝕜] {F : Type _} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
+variable {𝕜 : Type _} [RCLike 𝕜] {F : Type _} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
 
 namespace LinearMap
 
@@ -64,7 +64,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
     intro c x
     rw [← of_real_mul]
     congr 1
-    rw [IsROrC.ofReal_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
+    rw [RCLike.ofReal_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
   have smul_ℝ : ∀ (c : ℝ) (x : F), fc ((c : 𝕜) • x) = (c : 𝕜) * fc x :=
     by
     intro c x
@@ -112,7 +112,7 @@ theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
   calc
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = re (conj (f.extendTo𝕜' x) * f.extendTo𝕜' x : 𝕜) := by
-      rw [IsROrC.conj_mul, norm_sq_eq_def', of_real_re]
+      rw [RCLike.conj_mul, norm_sq_eq_def', of_real_re]
     _ = f (conj (f.extendTo𝕜' x : 𝕜) • x) := by
       rw [← smul_eq_mul, ← map_smul, extend_to_𝕜'_apply_re]
 #align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sq

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

@@ -161,11 +161,11 @@ theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
 @[simp]
 theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ = ‖fr‖ :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ (norm_nonneg _) _) <|
-    op_norm_le_bound _ (norm_nonneg _) fun x =>
+    opNorm_le_bound _ (norm_nonneg _) fun x =>
       calc
         ‖fr x‖ = ‖re (fr.extendTo𝕜' x : 𝕜)‖ := congr_arg norm (fr.extendTo𝕜'_apply_re x).symm
         _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := (abs_re_le_norm _)
-        _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_op_norm _ _
+        _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_opNorm _ _
 #align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'
 -/
 

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

@@ -131,6 +131,15 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
   by
   set lm : F →ₗ[𝕜] 𝕜 := fr.to_linear_map.extend_to_𝕜'
   classical
+  by_cases h : lm x = 0
+  · rw [h, norm_zero]
+    apply mul_nonneg <;> exact norm_nonneg _
+  rw [← mul_le_mul_left (norm_pos_iff.2 h), ← sq]
+  calc
+    ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.to_linear_map.norm_extend_to_𝕜'_apply_sq x
+    _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
+    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
+    _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 -/
 

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

@@ -131,15 +131,6 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
   by
   set lm : F →ₗ[𝕜] 𝕜 := fr.to_linear_map.extend_to_𝕜'
   classical
-  by_cases h : lm x = 0
-  · rw [h, norm_zero]
-    apply mul_nonneg <;> exact norm_nonneg _
-  rw [← mul_le_mul_left (norm_pos_iff.2 h), ← sq]
-  calc
-    ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.to_linear_map.norm_extend_to_𝕜'_apply_sq x
-    _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
-    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
-    _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 -/
 

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

@@ -3,9 +3,9 @@ Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 -/
-import Mathbin.Analysis.NormedSpace.OperatorNorm
-import Mathbin.Algebra.Algebra.RestrictScalars
-import Mathbin.Data.IsROrC.Basic
+import Analysis.NormedSpace.OperatorNorm
+import Algebra.Algebra.RestrictScalars
+import Data.IsROrC.Basic
 
 #align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
-
-! This file was ported from Lean 3 source module analysis.normed_space.extend
-! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.OperatorNorm
 import Mathbin.Algebra.Algebra.RestrictScalars
 import Mathbin.Data.IsROrC.Basic
 
+#align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
+
 /-!
 # Extending a continuous `ℝ`-linear map to a continuous `𝕜`-linear map
 

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

@@ -95,17 +95,22 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
 #align linear_map.extend_to_𝕜' LinearMap.extendTo𝕜'
 -/
 
+#print LinearMap.extendTo𝕜'_apply /-
 theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_apply
+-/
 
+#print LinearMap.extendTo𝕜'_apply_re /-
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
   simp only [extend_to_𝕜'_apply, map_sub, MulZeroClass.zero_mul, MulZeroClass.mul_zero, sub_zero,
     is_R_or_C_simps]
 #align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
+-/
 
+#print LinearMap.norm_extendTo𝕜'_apply_sq /-
 theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
   calc
@@ -114,6 +119,7 @@ theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     _ = f (conj (f.extendTo𝕜' x : 𝕜) • x) := by
       rw [← smul_eq_mul, ← map_smul, extend_to_𝕜'_apply_re]
 #align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sq
+-/
 
 end LinearMap
 
@@ -121,6 +127,7 @@ namespace ContinuousLinearMap
 
 variable [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
 
+#print ContinuousLinearMap.norm_extendTo𝕜'_bound /-
 /-- The norm of the extension is bounded by `‖fr‖`. -/
 theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
     ‖(fr.toLinearMap.extendTo𝕜' x : 𝕜)‖ ≤ ‖fr‖ * ‖x‖ :=
@@ -137,6 +144,7 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
     _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
     _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
+-/
 
 #print ContinuousLinearMap.extendTo𝕜' /-
 /-- Extend `fr : F →L[ℝ] ℝ` to `F →L[𝕜] 𝕜`. -/
@@ -145,10 +153,12 @@ noncomputable def extendTo𝕜' (fr : F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
 #align continuous_linear_map.extend_to_𝕜' ContinuousLinearMap.extendTo𝕜'
 -/
 
+#print ContinuousLinearMap.extendTo𝕜'_apply /-
 theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align continuous_linear_map.extend_to_𝕜'_apply ContinuousLinearMap.extendTo𝕜'_apply
+-/
 
 #print ContinuousLinearMap.norm_extendTo𝕜' /-
 @[simp]
@@ -171,10 +181,12 @@ noncomputable def LinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →ₗ
 #align linear_map.extend_to_𝕜 LinearMap.extendTo𝕜
 -/
 
+#print LinearMap.extendTo𝕜_apply /-
 theorem LinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
   rfl
 #align linear_map.extend_to_𝕜_apply LinearMap.extendTo𝕜_apply
+-/
 
 #print ContinuousLinearMap.extendTo𝕜 /-
 /-- Extend `fr : restrict_scalars ℝ 𝕜 F →L[ℝ] ℝ` to `F →L[𝕜] 𝕜`. -/
@@ -183,10 +195,12 @@ noncomputable def ContinuousLinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 
 #align continuous_linear_map.extend_to_𝕜 ContinuousLinearMap.extendTo𝕜
 -/
 
+#print ContinuousLinearMap.extendTo𝕜_apply /-
 theorem ContinuousLinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
   rfl
 #align continuous_linear_map.extend_to_𝕜_apply ContinuousLinearMap.extendTo𝕜_apply
+-/
 
 #print ContinuousLinearMap.norm_extendTo𝕜 /-
 @[simp]

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

@@ -113,7 +113,6 @@ theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
       rw [IsROrC.conj_mul, norm_sq_eq_def', of_real_re]
     _ = f (conj (f.extendTo𝕜' x : 𝕜) • x) := by
       rw [← smul_eq_mul, ← map_smul, extend_to_𝕜'_apply_re]
-    
 #align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sq
 
 end LinearMap
@@ -137,7 +136,6 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
     _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
     _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
     _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
-    
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 
 #print ContinuousLinearMap.extendTo𝕜' /-
@@ -161,7 +159,6 @@ theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →
         ‖fr x‖ = ‖re (fr.extendTo𝕜' x : 𝕜)‖ := congr_arg norm (fr.extendTo𝕜'_apply_re x).symm
         _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := (abs_re_le_norm _)
         _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_op_norm _ _
-        
 #align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'
 -/
 

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

@@ -128,16 +128,16 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
   by
   set lm : F →ₗ[𝕜] 𝕜 := fr.to_linear_map.extend_to_𝕜'
   classical
-    by_cases h : lm x = 0
-    · rw [h, norm_zero]
-      apply mul_nonneg <;> exact norm_nonneg _
-    rw [← mul_le_mul_left (norm_pos_iff.2 h), ← sq]
-    calc
-      ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.to_linear_map.norm_extend_to_𝕜'_apply_sq x
-      _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
-      _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
-      _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
-      
+  by_cases h : lm x = 0
+  · rw [h, norm_zero]
+    apply mul_nonneg <;> exact norm_nonneg _
+  rw [← mul_le_mul_left (norm_pos_iff.2 h), ← sq]
+  calc
+    ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.to_linear_map.norm_extend_to_𝕜'_apply_sq x
+    _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
+    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
+    _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
+    
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 
 #print ContinuousLinearMap.extendTo𝕜' /-

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

@@ -41,7 +41,7 @@ Alternate forms which operate on `[is_scalar_tower ℝ 𝕜 F]` instead are prov
 
 open IsROrC
 
-open ComplexConjugate
+open scoped ComplexConjugate
 
 variable {𝕜 : Type _} [IsROrC 𝕜] {F : Type _} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
 

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

@@ -95,26 +95,17 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
 #align linear_map.extend_to_𝕜' LinearMap.extendTo𝕜'
 -/
 
-/- warning: linear_map.extend_to_𝕜'_apply -> LinearMap.extendTo𝕜'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_apply
 
-/- warning: linear_map.extend_to_𝕜'_apply_re -> LinearMap.extendTo𝕜'_apply_re is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_reₓ'. -/
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
   simp only [extend_to_𝕜'_apply, map_sub, MulZeroClass.zero_mul, MulZeroClass.mul_zero, sub_zero,
     is_R_or_C_simps]
 #align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
 
-/- warning: linear_map.norm_extend_to_𝕜'_apply_sq -> LinearMap.norm_extendTo𝕜'_apply_sq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sqₓ'. -/
 theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
   calc
@@ -131,9 +122,6 @@ namespace ContinuousLinearMap
 
 variable [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
 
-/- warning: continuous_linear_map.norm_extend_to_𝕜'_bound -> ContinuousLinearMap.norm_extendTo𝕜'_bound is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_boundₓ'. -/
 /-- The norm of the extension is bounded by `‖fr‖`. -/
 theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
     ‖(fr.toLinearMap.extendTo𝕜' x : 𝕜)‖ ≤ ‖fr‖ * ‖x‖ :=
@@ -159,9 +147,6 @@ noncomputable def extendTo𝕜' (fr : F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
 #align continuous_linear_map.extend_to_𝕜' ContinuousLinearMap.extendTo𝕜'
 -/
 
-/- warning: continuous_linear_map.extend_to_𝕜'_apply -> ContinuousLinearMap.extendTo𝕜'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.extend_to_𝕜'_apply ContinuousLinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
@@ -189,9 +174,6 @@ noncomputable def LinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →ₗ
 #align linear_map.extend_to_𝕜 LinearMap.extendTo𝕜
 -/
 
-/- warning: linear_map.extend_to_𝕜_apply -> LinearMap.extendTo𝕜_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜_apply LinearMap.extendTo𝕜_applyₓ'. -/
 theorem LinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
   rfl
@@ -204,9 +186,6 @@ noncomputable def ContinuousLinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 
 #align continuous_linear_map.extend_to_𝕜 ContinuousLinearMap.extendTo𝕜
 -/
 
-/- warning: continuous_linear_map.extend_to_𝕜_apply -> ContinuousLinearMap.extendTo𝕜_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.extend_to_𝕜_apply ContinuousLinearMap.extendTo𝕜_applyₓ'. -/
 theorem ContinuousLinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
   rfl

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

@@ -79,8 +79,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
     by
     intro x
     simp only [fc]
-    cases' @I_mul_I_ax 𝕜 _ with h h
-    · simp [h]
+    cases' @I_mul_I_ax 𝕜 _ with h h; · simp [h]
     rw [mul_sub, ← mul_assoc, smul_smul, h]
     simp only [neg_mul, LinearMap.map_neg, one_mul, one_smul, mul_neg, of_real_neg, neg_smul,
       sub_neg_eq_add, add_comm]

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

@@ -97,10 +97,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
 -/
 
 /- warning: linear_map.extend_to_𝕜'_apply -> LinearMap.extendTo𝕜'_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) 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(Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
@@ -108,10 +105,7 @@ theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
 #align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_apply
 
 /- warning: linear_map.extend_to_𝕜'_apply_re -> LinearMap.extendTo𝕜'_apply_re is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) 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(AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F 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(AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 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(SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 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(SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) => Real) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 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_inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_reₓ'. -/
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
@@ -120,10 +114,7 @@ theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendT
 #align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
 
 /- warning: linear_map.norm_extend_to_𝕜'_apply_sq -> LinearMap.norm_extendTo𝕜'_apply_sq is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) 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(MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F 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-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 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(Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) (HSMul.hSMul.{u1, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))) 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(NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sqₓ'. -/
 theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
@@ -142,10 +133,7 @@ namespace ContinuousLinearMap
 variable [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
 
 /- warning: continuous_linear_map.norm_extend_to_𝕜'_bound -> ContinuousLinearMap.norm_extendTo𝕜'_bound is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F 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(NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (x : F), LE.le.{0} Real Real.hasLe (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) _inst_5 (ContinuousLinearMap.toLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module fr)) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, u2, 0} Real Real F Real _inst_2 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toHasNorm.{u2} F _inst_2) x))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toNorm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) fr)) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (ContinuousLinearMap.hasOpNorm.{0, 0, u2, 0} Real Real F Real _inst_2 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toNorm.{u2} F _inst_2) x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_boundₓ'. -/
 /-- The norm of the extension is bounded by `‖fr‖`. -/
 theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
@@ -173,10 +161,7 @@ noncomputable def extendTo𝕜' (fr : F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
 -/
 
 /- warning: continuous_linear_map.extend_to_𝕜'_apply -> ContinuousLinearMap.extendTo𝕜'_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real 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(NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (x : F), 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 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(SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) => F -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) => F -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u2 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F 𝕜 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 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(SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F 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(ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F Real (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.extend_to_𝕜'_apply ContinuousLinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
@@ -206,10 +191,7 @@ noncomputable def LinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →ₗ
 -/
 
 /- warning: linear_map.extend_to_𝕜_apply -> LinearMap.extendTo𝕜_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (x : F), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 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(NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜_apply LinearMap.extendTo𝕜_applyₓ'. -/
 theorem LinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
@@ -224,10 +206,7 @@ noncomputable def ContinuousLinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 
 -/
 
 /- warning: continuous_linear_map.extend_to_𝕜_apply -> ContinuousLinearMap.extendTo𝕜_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (x : F), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (ContinuousLinearMap.{u1, u1, u2, u1} 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(DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 𝕜) 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F 𝕜 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.extend_to_𝕜_apply ContinuousLinearMap.extendTo𝕜_applyₓ'. -/
 theorem ContinuousLinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=

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

@@ -100,7 +100,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (x : F), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
 Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
@@ -111,7 +111,7 @@ theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (x : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => Real) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (FunLike.coe.{succ u1, succ u1, 1} (AddMonoidHom.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (fun (_x : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => Real) _x) (AddHomClass.toFunLike.{u1, u1, 0} (AddMonoidHom.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddZeroClass.toAdd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u1, u1, 0} (AddMonoidHom.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) => Real) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) a) 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_inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) 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(IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
 Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_reₓ'. -/
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
@@ -123,7 +123,7 @@ theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendT
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (x : F), Eq.{1} Real (HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 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Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) f (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 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(succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) (HSMul.hSMul.{u1, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) F F (instHSMul.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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_inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (starRingEnd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => Real) (HSMul.hSMul.{u1, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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_inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) 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x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))))))) (starRingEnd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))))))))) (starRingEnd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
 Case conversion may be inaccurate. Consider using '#align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sqₓ'. -/
 theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
@@ -145,7 +145,7 @@ variable [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (x : F), LE.le.{0} Real Real.hasLe (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) _inst_5 (ContinuousLinearMap.toLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module fr)) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, u2, 0} Real Real F Real _inst_2 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toHasNorm.{u2} F _inst_2) x))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toNorm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) _inst_5 (ContinuousLinearMap.toLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) fr)) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (ContinuousLinearMap.hasOpNorm.{0, 0, u2, 0} Real Real F Real _inst_2 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toNorm.{u2} F _inst_2) x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (NormedField.toNorm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) _inst_1))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) _inst_5 (ContinuousLinearMap.toLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) fr)) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (ContinuousLinearMap.hasOpNorm.{0, 0, u2, 0} Real Real F Real _inst_2 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toNorm.{u2} F _inst_2) x))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_boundₓ'. -/
 /-- The norm of the extension is bounded by `‖fr‖`. -/
 theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
@@ -209,7 +209,7 @@ noncomputable def LinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →ₗ
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (x : F), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
 Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜_apply LinearMap.extendTo𝕜_applyₓ'. -/
 theorem LinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 
 ! This file was ported from Lean 3 source module analysis.normed_space.extend
-! leanprover-community/mathlib commit 3f655f5297b030a87d641ad4e825af8d9679eb0b
+! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Data.IsROrC.Basic
 /-!
 # Extending a continuous `ℝ`-linear map to a continuous `𝕜`-linear map
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we provide a way to extend a continuous `ℝ`-linear map to a continuous `𝕜`-linear map
 in a way that bounds the norm by the norm of the original map, when `𝕜` is either `ℝ` (the
 extension is trivial) or `ℂ`. We formulate the extension uniformly, by assuming `is_R_or_C 𝕜`.

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

@@ -120,7 +120,7 @@ theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendT
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) 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Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) f (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (fun (_x : RingHom.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) => 𝕜 -> 𝕜) (RingHom.hasCoeToFun.{u1, u1} 𝕜 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} 𝕜 (CommSemiring.toSemiring.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (starRingEnd.{u1} 𝕜 (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toStarRing.{u1} 𝕜 _inst_1)) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) (HSMul.hSMul.{u1, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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_inst_4 _inst_5 f) x)) _inst_1)) _inst_2 _inst_3)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (fun (a : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) (HSMul.hSMul.{u1, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) F F (instHSMul.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) 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𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) _inst_1)) _inst_2 _inst_3)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 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=> 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (fun (_x : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun 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F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (starRingEnd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
 Case conversion may be inaccurate. Consider using '#align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sqₓ'. -/
 theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=

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

@@ -46,6 +46,7 @@ namespace LinearMap
 
 variable [Module ℝ F] [IsScalarTower ℝ 𝕜 F]
 
+#print LinearMap.extendTo𝕜' /-
 /-- Extend `fr : F →ₗ[ℝ] ℝ` to `F →ₗ[𝕜] 𝕜` in a way that will also be continuous and have its norm
 bounded by `‖fr‖` if `fr` is continuous. -/
 noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :=
@@ -90,18 +91,37 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
       map_add' := add
       map_smul' := smul_𝕜 }
 #align linear_map.extend_to_𝕜' LinearMap.extendTo𝕜'
+-/
 
+/- warning: linear_map.extend_to_𝕜'_apply -> LinearMap.extendTo𝕜'_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) 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(AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (x : F), Eq.{succ u1} 𝕜 (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_apply
 
+/- warning: linear_map.extend_to_𝕜'_apply_re -> LinearMap.extendTo𝕜'_apply_re is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (x : F), Eq.{1} Real (coeFn.{succ u1, succ u1} (AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (fun (_x : AddMonoidHom.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) => 𝕜 -> Real) (AddMonoidHom.hasCoeToFun.{u1, 0} 𝕜 Real (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddMonoidWithOne.toAddMonoid.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.addMonoid)) (IsROrC.re.{u1} 𝕜 _inst_1) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module) => F -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.addCommMonoid _inst_4 Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => Real) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (a : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (FunLike.coe.{succ u1, succ u1, 1} (AddMonoidHom.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (fun (_x : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => Real) _x) (AddHomClass.toFunLike.{u1, u1, 0} (AddMonoidHom.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddZeroClass.toAdd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHomClass.toAddHomClass.{u1, u1, 0} (AddMonoidHom.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal) (AddMonoidHom.addMonoidHomClass.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) Real (AddMonoid.toAddZeroClass.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (AddCommMonoid.toAddMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toCommRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)))) (IsROrC.re.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x)) (FunLike.coe.{succ u2, succ u2, 1} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u2, 0} Real Real F Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)
+Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_reₓ'. -/
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
   simp only [extend_to_𝕜'_apply, map_sub, MulZeroClass.zero_mul, MulZeroClass.mul_zero, sub_zero,
     is_R_or_C_simps]
 #align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
 
+/- warning: linear_map.norm_extend_to_𝕜'_apply_sq -> LinearMap.norm_extendTo𝕜'_apply_sq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) 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(MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : Module.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) _inst_4))))] (f : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F Real (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instAddCommMonoidReal _inst_4 (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => Real) (HSMul.hSMul.{u1, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)))))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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_inst_1)))))))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) 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x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (starRingEnd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} 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F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (RingHom.instRingHomClassRingHom.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))))))))) (starRingEnd.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Semifield.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))))) (IsROrC.toStarRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 f) x)) x))
+Case conversion may be inaccurate. Consider using '#align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sqₓ'. -/
 theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
   calc
@@ -118,6 +138,12 @@ namespace ContinuousLinearMap
 
 variable [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
 
+/- warning: continuous_linear_map.norm_extend_to_𝕜'_bound -> ContinuousLinearMap.norm_extendTo𝕜'_bound is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{0, u2} Real F (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (x : F), LE.le.{0} Real Real.hasLe (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 𝕜) (LinearMap.hasCoeToFun.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) _inst_5 (ContinuousLinearMap.toLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module fr)) x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, u2, 0} Real Real F Real _inst_2 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toHasNorm.{u2} F _inst_2) x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F 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(AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), LE.le.{0} Real Real.instLEReal (Norm.norm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (NormedField.toNorm.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (DenselyNormedField.toNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (IsROrC.toDenselyNormedField.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) _inst_1))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 F 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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(NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) _inst_5 (ContinuousLinearMap.toLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F 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(NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) _inst_4 (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr) (Norm.norm.{u2} F (SeminormedAddCommGroup.toNorm.{u2} F _inst_2) x))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_boundₓ'. -/
 /-- The norm of the extension is bounded by `‖fr‖`. -/
 theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
     ‖(fr.toLinearMap.extendTo𝕜' x : 𝕜)‖ ≤ ‖fr‖ * ‖x‖ :=
@@ -136,16 +162,25 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
       
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 
+#print ContinuousLinearMap.extendTo𝕜' /-
 /-- Extend `fr : F →L[ℝ] ℝ` to `F →L[𝕜] 𝕜`. -/
 noncomputable def extendTo𝕜' (fr : F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
   LinearMap.mkContinuous _ ‖fr‖ fr.norm_extendTo𝕜'_bound
 #align continuous_linear_map.extend_to_𝕜' ContinuousLinearMap.extendTo𝕜'
+-/
 
+/- warning: continuous_linear_map.extend_to_𝕜'_apply -> ContinuousLinearMap.extendTo𝕜'_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real 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Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedAlgebra.toNormedSpace'.{0, u1} Real Real.normedField 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{0, u2} Real F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{0, u2} Real F (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real 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(NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (x : F), 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 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) => F -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) => F -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) Real.module) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField _inst_2] [_inst_5 : IsScalarTower.{0, u1, u2} Real 𝕜 F (Algebra.toSMul.{0, u1} Real 𝕜 Real.instCommSemiringReal (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (SMulZeroClass.toSMul.{0, u2} Real F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{0, u2} Real F Real.instZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{0, u2} Real F Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{0, u2} Real F Real.semiring (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4)))))] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 𝕜) x) (FunLike.coe.{max (succ u2) (succ u1), 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 𝕜) _x) (ContinuousMapClass.toFunLike.{max u2 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F 𝕜 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.extendTo𝕜'.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 _inst_4 _inst_5 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F Real (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField 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(AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real 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(PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (NormedSpace.toModule.{0, u2} Real F Real.normedField _inst_2 _inst_4) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.extend_to_𝕜'_apply ContinuousLinearMap.extendTo𝕜'_applyₓ'. -/
 theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align continuous_linear_map.extend_to_𝕜'_apply ContinuousLinearMap.extendTo𝕜'_apply
 
+#print ContinuousLinearMap.norm_extendTo𝕜' /-
 @[simp]
 theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ = ‖fr‖ :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ (norm_nonneg _) _) <|
@@ -156,32 +191,51 @@ theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →
         _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_op_norm _ _
         
 #align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'
+-/
 
 end ContinuousLinearMap
 
+#print LinearMap.extendTo𝕜 /-
 /-- Extend `fr : restrict_scalars ℝ 𝕜 F →ₗ[ℝ] ℝ` to `F →ₗ[𝕜] 𝕜`. -/
 noncomputable def LinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :=
   fr.extendTo𝕜'
 #align linear_map.extend_to_𝕜 LinearMap.extendTo𝕜
+-/
 
+/- warning: linear_map.extend_to_𝕜_apply -> LinearMap.extendTo𝕜_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} 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(NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (LinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (LinearMap.hasCoeToFun.{0, 0, u2, 0} Real Real (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real Real.semiring Real.semiring (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : LinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F 𝕜 (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : F) => 𝕜) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.extend_to_𝕜_apply LinearMap.extendTo𝕜_applyₓ'. -/
 theorem LinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
   rfl
 #align linear_map.extend_to_𝕜_apply LinearMap.extendTo𝕜_apply
 
+#print ContinuousLinearMap.extendTo𝕜 /-
 /-- Extend `fr : restrict_scalars ℝ 𝕜 F →L[ℝ] ℝ` to `F →L[𝕜] 𝕜`. -/
 noncomputable def ContinuousLinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
   fr.extendTo𝕜'
 #align continuous_linear_map.extend_to_𝕜 ContinuousLinearMap.extendTo𝕜
+-/
 
+/- warning: continuous_linear_map.extend_to_𝕜_apply -> ContinuousLinearMap.extendTo𝕜_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (x : F), 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) => F -> 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (SubNegMonoid.toHasSub.{u1} 𝕜 (AddGroup.toSubNegMonoid.{u1} 𝕜 (NormedAddGroup.toAddGroup.{u1} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) (IsROrC.i.{u1} 𝕜 _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Real 𝕜 (HasLiftT.mk.{1, succ u1} Real 𝕜 (CoeTCₓ.coe.{1, succ u1} Real 𝕜 (IsROrC.algebraMapCoe.{u1} 𝕜 _inst_1))) (coeFn.{succ u2, succ u2} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) (fun (_x : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) => (RestrictScalars.{0, u1, u2} Real 𝕜 F) -> Real) (ContinuousLinearMap.toFun.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (RestrictScalars.seminormedAddCommGroup.{0, u1, u2} Real 𝕜 F _inst_2)))) (RestrictScalars.addCommMonoid.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.commSemiring (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) Real.module) fr (SMul.smul.{u1, u2} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 F (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} F (AddMonoid.toAddZeroClass.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3))))) (IsROrC.i.{u1} 𝕜 _inst_1) x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : IsROrC.{u1} 𝕜] {F : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u2} F] [_inst_3 : NormedSpace.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2] (fr : ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (x : F), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 𝕜) 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F (fun (_x : F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => 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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) F 𝕜 (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))))) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) 𝕜 (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{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 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NormedField.toNormedSpace.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.extendTo𝕜.{u1, u2} 𝕜 _inst_1 F _inst_2 _inst_3 fr) x) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr x)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))))) (IsROrC.I.{u1} 𝕜 _inst_1) (IsROrC.ofReal.{u1} 𝕜 _inst_1 (FunLike.coe.{succ u2, succ u2, 1} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (fun (_x : RestrictScalars.{0, u1, u2} Real 𝕜 F) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : RestrictScalars.{0, u1, u2} Real 𝕜 F) => Real) _x) (ContinuousMapClass.toFunLike.{u2, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (RestrictScalars.{0, u1, u2} Real 𝕜 F) Real (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (ContinuousSemilinearMapClass.toContinuousMapClass.{u2, 0, 0, u2, 0} (ContinuousLinearMap.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (ContinuousLinearMap.continuousSemilinearMapClass.{0, 0, u2, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RestrictScalars.{0, u1, u2} Real 𝕜 F) (UniformSpace.toTopologicalSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (PseudoMetricSpace.toUniformSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} (RestrictScalars.{0, u1, u2} Real 𝕜 F) (instSeminormedAddCommGroupRestrictScalars.{0, u1, u2} Real 𝕜 F _inst_2)))) (instAddCommMonoidRestrictScalars.{0, u1, u2} Real 𝕜 F (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (RestrictScalars.module.{0, u1, u2} Real 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, u1} Real 𝕜 Real.normedField (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))) (IsROrC.toNormedAlgebra.{u1} 𝕜 _inst_1)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))) fr (HSMul.hSMul.{u1, u2, u2} 𝕜 F F (instHSMul.{u1, u2} 𝕜 F (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1))))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} F (SeminormedAddCommGroup.toAddCommGroup.{u2} F _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 F (DenselyNormedField.toNormedField.{u1} 𝕜 (IsROrC.toDenselyNormedField.{u1} 𝕜 _inst_1)) _inst_2 _inst_3)))))) (IsROrC.I.{u1} 𝕜 _inst_1) x)))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.extend_to_𝕜_apply ContinuousLinearMap.extendTo𝕜_applyₓ'. -/
 theorem ContinuousLinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜 x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x : _) :=
   rfl
 #align continuous_linear_map.extend_to_𝕜_apply ContinuousLinearMap.extendTo𝕜_apply
 
+#print ContinuousLinearMap.norm_extendTo𝕜 /-
 @[simp]
 theorem ContinuousLinearMap.norm_extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) :
     ‖fr.extendTo𝕜‖ = ‖fr‖ :=
   fr.norm_extendTo𝕜'
 #align continuous_linear_map.norm_extend_to_𝕜 ContinuousLinearMap.norm_extendTo𝕜
+-/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2f8347015b12b0864dfaf366ec4909eb70c78740

@@ -63,7 +63,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
     intro c x
     rw [← of_real_mul]
     congr 1
-    rw [IsROrC.of_real_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
+    rw [IsROrC.ofReal_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
   have smul_ℝ : ∀ (c : ℝ) (x : F), fc ((c : 𝕜) • x) = (c : 𝕜) * fc x :=
     by
     intro c x

mathlib commit https://github.com/leanprover-community/mathlib/commit/d4437c68c8d350fc9d4e95e1e174409db35e30d7

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 
 ! This file was ported from Lean 3 source module analysis.normed_space.extend
-! leanprover-community/mathlib commit 25580801f04aed44a0daf912d3760d0eaaf6d1bb
+! leanprover-community/mathlib commit 3f655f5297b030a87d641ad4e825af8d9679eb0b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -152,7 +152,7 @@ theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →
     op_norm_le_bound _ (norm_nonneg _) fun x =>
       calc
         ‖fr x‖ = ‖re (fr.extendTo𝕜' x : 𝕜)‖ := congr_arg norm (fr.extendTo𝕜'_apply_re x).symm
-        _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := ((abs_re_le_abs _).trans_eq (norm_eq_abs _).symm)
+        _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := (abs_re_le_norm _)
         _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_op_norm _ _
         
 #align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'

mathlib commit https://github.com/leanprover-community/mathlib/commit/3905fa80e62c0898131285baab35559fbc4e5cda

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 
 ! This file was ported from Lean 3 source module analysis.normed_space.extend
-! leanprover-community/mathlib commit aa1dbeab548d61bc840a099abae4437046eaaf00
+! leanprover-community/mathlib commit 25580801f04aed44a0daf912d3760d0eaaf6d1bb
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -106,7 +106,7 @@ theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
   calc
     ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = re (conj (f.extendTo𝕜' x) * f.extendTo𝕜' x : 𝕜) := by
-      rw [IsROrC.conj_mul_eq_normSq_left, norm_sq_eq_def', of_real_re]
+      rw [IsROrC.conj_mul, norm_sq_eq_def', of_real_re]
     _ = f (conj (f.extendTo𝕜' x : 𝕜) • x) := by
       rw [← smul_eq_mul, ← map_smul, extend_to_𝕜'_apply_re]
     

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 
 ! This file was ported from Lean 3 source module analysis.normed_space.extend
-! leanprover-community/mathlib commit 468b141b14016d54b479eb7a0fff1e360b7e3cf6
+! leanprover-community/mathlib commit aa1dbeab548d61bc840a099abae4437046eaaf00
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -38,15 +38,17 @@ Alternate forms which operate on `[is_scalar_tower ℝ 𝕜 F]` instead are prov
 
 open IsROrC
 
+open ComplexConjugate
+
 variable {𝕜 : Type _} [IsROrC 𝕜] {F : Type _} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
 
--- mathport name: exprabs𝕜
-local notation "abs𝕜" => @IsROrC.abs 𝕜 _
+namespace LinearMap
+
+variable [Module ℝ F] [IsScalarTower ℝ 𝕜 F]
 
 /-- Extend `fr : F →ₗ[ℝ] ℝ` to `F →ₗ[𝕜] 𝕜` in a way that will also be continuous and have its norm
 bounded by `‖fr‖` if `fr` is continuous. -/
-noncomputable def LinearMap.extendTo𝕜' [Module ℝ F] [IsScalarTower ℝ 𝕜 F] (fr : F →ₗ[ℝ] ℝ) :
-    F →ₗ[𝕜] 𝕜 :=
+noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :=
   by
   let fc : F → 𝕜 := fun x => (fr x : 𝕜) - (I : 𝕜) * fr ((I : 𝕜) • x)
   have add : ∀ x y : F, fc (x + y) = fc x + fc y :=
@@ -89,66 +91,74 @@ noncomputable def LinearMap.extendTo𝕜' [Module ℝ F] [IsScalarTower ℝ 𝕜
       map_smul' := smul_𝕜 }
 #align linear_map.extend_to_𝕜' LinearMap.extendTo𝕜'
 
-theorem LinearMap.extendTo𝕜'_apply [Module ℝ F] [IsScalarTower ℝ 𝕜 F] (fr : F →ₗ[ℝ] ℝ) (x : F) :
+theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
     fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align linear_map.extend_to_𝕜'_apply LinearMap.extendTo𝕜'_apply
 
+@[simp]
+theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
+  simp only [extend_to_𝕜'_apply, map_sub, MulZeroClass.zero_mul, MulZeroClass.mul_zero, sub_zero,
+    is_R_or_C_simps]
+#align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
+
+theorem norm_extendTo𝕜'_apply_sq (f : F →ₗ[ℝ] ℝ) (x : F) :
+    ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = f (conj (f.extendTo𝕜' x : 𝕜) • x) :=
+  calc
+    ‖(f.extendTo𝕜' x : 𝕜)‖ ^ 2 = re (conj (f.extendTo𝕜' x) * f.extendTo𝕜' x : 𝕜) := by
+      rw [IsROrC.conj_mul_eq_normSq_left, norm_sq_eq_def', of_real_re]
+    _ = f (conj (f.extendTo𝕜' x : 𝕜) • x) := by
+      rw [← smul_eq_mul, ← map_smul, extend_to_𝕜'_apply_re]
+    
+#align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sq
+
+end LinearMap
+
+namespace ContinuousLinearMap
+
+variable [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
+
 /-- The norm of the extension is bounded by `‖fr‖`. -/
-theorem norm_bound [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F] (fr : F →L[ℝ] ℝ) (x : F) :
+theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
     ‖(fr.toLinearMap.extendTo𝕜' x : 𝕜)‖ ≤ ‖fr‖ * ‖x‖ :=
   by
-  let lm : F →ₗ[𝕜] 𝕜 := fr.to_linear_map.extend_to_𝕜'
+  set lm : F →ₗ[𝕜] 𝕜 := fr.to_linear_map.extend_to_𝕜'
   classical
-    -- We aim to find a `t : 𝕜` such that
-    -- * `lm (t • x) = fr (t • x)` (so `lm (t • x) = t * lm x ∈ ℝ`)
-    -- * `‖lm x‖ = ‖lm (t • x)‖` (so `t.abs` must be 1)
-    -- If `lm x ≠ 0`, `(lm x)⁻¹` satisfies the first requirement, and after normalizing, it
-    -- satisfies the second.
-    -- (If `lm x = 0`, the goal is trivial.)
     by_cases h : lm x = 0
     · rw [h, norm_zero]
       apply mul_nonneg <;> exact norm_nonneg _
-    let fx := (lm x)⁻¹
-    let t := fx / (abs𝕜 fx : 𝕜)
-    have ht : abs𝕜 t = 1 := by
-      field_simp [abs_of_real, of_real_inv, IsROrC.abs_inv, IsROrC.abs_div, IsROrC.abs_abs, h]
-    have h1 : (fr (t • x) : 𝕜) = lm (t • x) := by
-      apply ext
-      · simp only [lm, of_real_re, LinearMap.extendTo𝕜'_apply, mul_re, I_re, of_real_im,
-          MulZeroClass.zero_mul, AddMonoidHom.map_sub, sub_zero, MulZeroClass.mul_zero]
-        rfl
-      · symm
-        calc
-          im (lm (t • x)) = im (t * lm x) := by rw [lm.map_smul, smul_eq_mul]
-          _ = im ((lm x)⁻¹ / abs𝕜 (lm x)⁻¹ * lm x) := rfl
-          _ = im (1 / (abs𝕜 (lm x)⁻¹ : 𝕜)) := by rw [div_mul_eq_mul_div, inv_mul_cancel h]
-          _ = 0 := by rw [← of_real_one, ← of_real_div, of_real_im]
-          _ = im (fr (t • x) : 𝕜) := by rw [of_real_im]
-          
+    rw [← mul_le_mul_left (norm_pos_iff.2 h), ← sq]
     calc
-      ‖lm x‖ = abs𝕜 t * ‖lm x‖ := by rw [ht, one_mul]
-      _ = ‖t * lm x‖ := by rw [← norm_eq_abs, norm_mul]
-      _ = ‖lm (t • x)‖ := by rw [← smul_eq_mul, lm.map_smul]
-      _ = ‖(fr (t • x) : 𝕜)‖ := by rw [h1]
-      _ = ‖fr (t • x)‖ := by rw [norm_eq_abs, abs_of_real, norm_eq_abs, abs_to_real]
-      _ ≤ ‖fr‖ * ‖t • x‖ := (ContinuousLinearMap.le_op_norm _ _)
-      _ = ‖fr‖ * (‖t‖ * ‖x‖) := by rw [norm_smul]
-      _ ≤ ‖fr‖ * ‖x‖ := by rw [norm_eq_abs, ht, one_mul]
+      ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.to_linear_map.norm_extend_to_𝕜'_apply_sq x
+      _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
+      _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
+      _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
       
-#align norm_bound norm_bound
+#align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 
 /-- Extend `fr : F →L[ℝ] ℝ` to `F →L[𝕜] 𝕜`. -/
-noncomputable def ContinuousLinearMap.extendTo𝕜' [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
-    (fr : F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
-  LinearMap.mkContinuous _ ‖fr‖ (norm_bound _)
+noncomputable def extendTo𝕜' (fr : F →L[ℝ] ℝ) : F →L[𝕜] 𝕜 :=
+  LinearMap.mkContinuous _ ‖fr‖ fr.norm_extendTo𝕜'_bound
 #align continuous_linear_map.extend_to_𝕜' ContinuousLinearMap.extendTo𝕜'
 
-theorem ContinuousLinearMap.extendTo𝕜'_apply [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F]
-    (fr : F →L[ℝ] ℝ) (x : F) : fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
+theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
+    fr.extendTo𝕜' x = (fr x : 𝕜) - (i : 𝕜) * fr ((i : 𝕜) • x) :=
   rfl
 #align continuous_linear_map.extend_to_𝕜'_apply ContinuousLinearMap.extendTo𝕜'_apply
 
+@[simp]
+theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ = ‖fr‖ :=
+  le_antisymm (LinearMap.mkContinuous_norm_le _ (norm_nonneg _) _) <|
+    op_norm_le_bound _ (norm_nonneg _) fun x =>
+      calc
+        ‖fr x‖ = ‖re (fr.extendTo𝕜' x : 𝕜)‖ := congr_arg norm (fr.extendTo𝕜'_apply_re x).symm
+        _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := ((abs_re_le_abs _).trans_eq (norm_eq_abs _).symm)
+        _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_op_norm _ _
+        
+#align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'
+
+end ContinuousLinearMap
+
 /-- Extend `fr : restrict_scalars ℝ 𝕜 F →ₗ[ℝ] ℝ` to `F →ₗ[𝕜] 𝕜`. -/
 noncomputable def LinearMap.extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :=
   fr.extendTo𝕜'
@@ -169,3 +179,9 @@ theorem ContinuousLinearMap.extendTo𝕜_apply (fr : RestrictScalars ℝ 𝕜 F
   rfl
 #align continuous_linear_map.extend_to_𝕜_apply ContinuousLinearMap.extendTo𝕜_apply
 
+@[simp]
+theorem ContinuousLinearMap.norm_extendTo𝕜 (fr : RestrictScalars ℝ 𝕜 F →L[ℝ] ℝ) :
+    ‖fr.extendTo𝕜‖ = ‖fr‖ :=
+  fr.norm_extendTo𝕜'
+#align continuous_linear_map.norm_extend_to_𝕜 ContinuousLinearMap.norm_extendTo𝕜
+

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

@@ -115,8 +115,8 @@ theorem norm_bound [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F] (fr : F →L[
       field_simp [abs_of_real, of_real_inv, IsROrC.abs_inv, IsROrC.abs_div, IsROrC.abs_abs, h]
     have h1 : (fr (t • x) : 𝕜) = lm (t • x) := by
       apply ext
-      · simp only [lm, of_real_re, LinearMap.extendTo𝕜'_apply, mul_re, I_re, of_real_im, zero_mul,
-          AddMonoidHom.map_sub, sub_zero, mul_zero]
+      · simp only [lm, of_real_re, LinearMap.extendTo𝕜'_apply, mul_re, I_re, of_real_im,
+          MulZeroClass.zero_mul, AddMonoidHom.map_sub, sub_zero, MulZeroClass.mul_zero]
         rfl
       · symm
         calc

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

@@ -132,7 +132,7 @@ theorem norm_bound [NormedSpace ℝ F] [IsScalarTower ℝ 𝕜 F] (fr : F →L[
       _ = ‖lm (t • x)‖ := by rw [← smul_eq_mul, lm.map_smul]
       _ = ‖(fr (t • x) : 𝕜)‖ := by rw [h1]
       _ = ‖fr (t • x)‖ := by rw [norm_eq_abs, abs_of_real, norm_eq_abs, abs_to_real]
-      _ ≤ ‖fr‖ * ‖t • x‖ := ContinuousLinearMap.le_op_norm _ _
+      _ ≤ ‖fr‖ * ‖t • x‖ := (ContinuousLinearMap.le_op_norm _ _)
       _ = ‖fr‖ * (‖t‖ * ‖x‖) := by rw [norm_smul]
       _ ≤ ‖fr‖ * ‖x‖ := by rw [norm_eq_abs, ht, one_mul]
       

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

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

@@ -115,8 +115,8 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
   rw [← mul_le_mul_left (norm_pos_iff.2 h), ← sq]
   calc
     ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.toLinearMap.norm_extendTo𝕜'_apply_sq x
-    _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
-    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_opNorm _ _)
+    _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := le_abs_self _
+    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := le_opNorm _ _
     _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 
@@ -135,7 +135,7 @@ theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →
     opNorm_le_bound _ (norm_nonneg _) fun x =>
       calc
         ‖fr x‖ = ‖re (fr.extendTo𝕜' x : 𝕜)‖ := congr_arg norm (fr.extendTo𝕜'_apply_re x).symm
-        _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := (abs_re_le_norm _)
+        _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := abs_re_le_norm _
         _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_opNorm _ _
 #align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'
 

RCLike is an analytic typeclass, hence should be under Analysis

@@ -5,7 +5,7 @@ Authors: Ruben Van de Velde
 -/
 import Mathlib.Algebra.Algebra.RestrictScalars
 import Mathlib.Analysis.NormedSpace.OperatorNorm.Basic
-import Mathlib.Data.RCLike.Basic
+import Mathlib.Analysis.RCLike.Basic
 
 #align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
 

IsROrC contains data, which goes against the expectation that classes prefixed with Is are prop-valued. People have been complaining about this on and off, so this PR renames IsROrC to RCLike.

@@ -3,8 +3,9 @@ Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 -/
-import Mathlib.Data.IsROrC.Basic
+import Mathlib.Algebra.Algebra.RestrictScalars
 import Mathlib.Analysis.NormedSpace.OperatorNorm.Basic
+import Mathlib.Data.RCLike.Basic
 
 #align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
 
@@ -13,7 +14,7 @@ import Mathlib.Analysis.NormedSpace.OperatorNorm.Basic
 
 In this file we provide a way to extend a continuous `ℝ`-linear map to a continuous `𝕜`-linear map
 in a way that bounds the norm by the norm of the original map, when `𝕜` is either `ℝ` (the
-extension is trivial) or `ℂ`. We formulate the extension uniformly, by assuming `IsROrC 𝕜`.
+extension is trivial) or `ℂ`. We formulate the extension uniformly, by assuming `RCLike 𝕜`.
 
 We motivate the form of the extension as follows. Note that `fc : F →ₗ[𝕜] 𝕜` is determined fully by
 `re fc`: for all `x : F`, `fc (I • x) = I * fc x`, so `im (fc x) = -re (fc (I • x))`. Therefore,
@@ -32,11 +33,11 @@ Alternate forms which operate on `[IsScalarTower ℝ 𝕜 F]` instead are provid
 -/
 
 
-open IsROrC
+open RCLike
 
 open ComplexConjugate
 
-variable {𝕜 : Type*} [IsROrC 𝕜] {F : Type*} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
+variable {𝕜 : Type*} [RCLike 𝕜] {F : Type*} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
 
 namespace LinearMap
 
@@ -55,7 +56,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
     intro c x
     rw [← ofReal_mul]
     congr 1
-    rw [IsROrC.ofReal_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
+    rw [RCLike.ofReal_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
   have smul_ℝ : ∀ (c : ℝ) (x : F), fc ((c : 𝕜) • x) = (c : 𝕜) * fc x := by
     intro c x
     dsimp only [fc]
@@ -86,14 +87,14 @@ theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
   simp only [extendTo𝕜'_apply, map_sub, zero_mul, mul_zero, sub_zero,
-    isROrC_simps]
+    rclike_simps]
 #align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
 
 theorem norm_extendTo𝕜'_apply_sq (fr : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(fr.extendTo𝕜' x : 𝕜)‖ ^ 2 = fr (conj (fr.extendTo𝕜' x : 𝕜) • x) :=
   calc
     ‖(fr.extendTo𝕜' x : 𝕜)‖ ^ 2 = re (conj (fr.extendTo𝕜' x) * fr.extendTo𝕜' x : 𝕜) := by
-      rw [IsROrC.conj_mul, ← ofReal_pow, ofReal_re]
+      rw [RCLike.conj_mul, ← ofReal_pow, ofReal_re]
     _ = fr (conj (fr.extendTo𝕜' x : 𝕜) • x) := by
       rw [← smul_eq_mul, ← map_smul, extendTo𝕜'_apply_re]
 #align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sq

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

@@ -48,7 +48,7 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
   let fc : F → 𝕜 := fun x => (fr x : 𝕜) - (I : 𝕜) * fr ((I : 𝕜) • x)
   have add : ∀ x y : F, fc (x + y) = fc x + fc y := by
     intro x y
-    simp only [smul_add, LinearMap.map_add, ofReal_add]
+    simp only [fc, smul_add, LinearMap.map_add, ofReal_add]
     rw [mul_add]
     abel
   have A : ∀ (c : ℝ) (x : F), (fr ((c : 𝕜) • x) : 𝕜) = (c : 𝕜) * (fr x : 𝕜) := by
@@ -58,12 +58,12 @@ noncomputable def extendTo𝕜' (fr : F →ₗ[ℝ] ℝ) : F →ₗ[𝕜] 𝕜 :
     rw [IsROrC.ofReal_alg, smul_assoc, fr.map_smul, Algebra.id.smul_eq_mul, one_smul]
   have smul_ℝ : ∀ (c : ℝ) (x : F), fc ((c : 𝕜) • x) = (c : 𝕜) * fc x := by
     intro c x
-    dsimp only
+    dsimp only [fc]
     rw [A c x, smul_smul, mul_comm I (c : 𝕜), ← smul_smul, A, mul_sub]
     ring
   have smul_I : ∀ x : F, fc ((I : 𝕜) • x) = (I : 𝕜) * fc x := by
     intro x
-    dsimp only
+    dsimp only [fc]
     cases' @I_mul_I_ax 𝕜 _ with h h
     · simp [h]
     rw [mul_sub, ← mul_assoc, smul_smul, h]

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

@@ -3,9 +3,8 @@ Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
 -/
-import Mathlib.Analysis.NormedSpace.OperatorNorm
-import Mathlib.Algebra.Algebra.RestrictScalars
 import Mathlib.Data.IsROrC.Basic
+import Mathlib.Analysis.NormedSpace.OperatorNorm.Basic
 
 #align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
 

Classifies by adding issue number (#10754) to porting notes claiming added instance.

@@ -141,7 +141,7 @@ theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →
 
 end ContinuousLinearMap
 
--- Porting note: Added a new instance. This instance is needed for the rest of the file.
+-- Porting note (#10754): Added a new instance. This instance is needed for the rest of the file.
 instance : NormedSpace 𝕜 (RestrictScalars ℝ 𝕜 F) := by
   unfold RestrictScalars
   infer_instance

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

@@ -116,7 +116,7 @@ theorem norm_extendTo𝕜'_bound (fr : F →L[ℝ] ℝ) (x : F) :
   calc
     ‖lm x‖ ^ 2 = fr (conj (lm x : 𝕜) • x) := fr.toLinearMap.norm_extendTo𝕜'_apply_sq x
     _ ≤ ‖fr (conj (lm x : 𝕜) • x)‖ := (le_abs_self _)
-    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_op_norm _ _)
+    _ ≤ ‖fr‖ * ‖conj (lm x : 𝕜) • x‖ := (le_opNorm _ _)
     _ = ‖(lm x : 𝕜)‖ * (‖fr‖ * ‖x‖) := by rw [norm_smul, norm_conj, mul_left_comm]
 #align continuous_linear_map.norm_extend_to_𝕜'_bound ContinuousLinearMap.norm_extendTo𝕜'_bound
 
@@ -132,11 +132,11 @@ theorem extendTo𝕜'_apply (fr : F →L[ℝ] ℝ) (x : F) :
 @[simp]
 theorem norm_extendTo𝕜' (fr : F →L[ℝ] ℝ) : ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ = ‖fr‖ :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ (norm_nonneg _) _) <|
-    op_norm_le_bound _ (norm_nonneg _) fun x =>
+    opNorm_le_bound _ (norm_nonneg _) fun x =>
       calc
         ‖fr x‖ = ‖re (fr.extendTo𝕜' x : 𝕜)‖ := congr_arg norm (fr.extendTo𝕜'_apply_re x).symm
         _ ≤ ‖(fr.extendTo𝕜' x : 𝕜)‖ := (abs_re_le_norm _)
-        _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_op_norm _ _
+        _ ≤ ‖(fr.extendTo𝕜' : F →L[𝕜] 𝕜)‖ * ‖x‖ := le_opNorm _ _
 #align continuous_linear_map.norm_extend_to_𝕜' ContinuousLinearMap.norm_extendTo𝕜'
 
 end ContinuousLinearMap

and other simple lemmas

From LeanAPAP

@@ -94,7 +94,7 @@ theorem norm_extendTo𝕜'_apply_sq (fr : F →ₗ[ℝ] ℝ) (x : F) :
     ‖(fr.extendTo𝕜' x : 𝕜)‖ ^ 2 = fr (conj (fr.extendTo𝕜' x : 𝕜) • x) :=
   calc
     ‖(fr.extendTo𝕜' x : 𝕜)‖ ^ 2 = re (conj (fr.extendTo𝕜' x) * fr.extendTo𝕜' x : 𝕜) := by
-      rw [IsROrC.conj_mul, normSq_eq_def', ofReal_re]
+      rw [IsROrC.conj_mul, ← ofReal_pow, ofReal_re]
     _ = fr (conj (fr.extendTo𝕜' x : 𝕜) • x) := by
       rw [← smul_eq_mul, ← map_smul, extendTo𝕜'_apply_re]
 #align linear_map.norm_extend_to_𝕜'_apply_sq LinearMap.norm_extendTo𝕜'_apply_sq

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

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

@@ -86,7 +86,7 @@ theorem extendTo𝕜'_apply (fr : F →ₗ[ℝ] ℝ) (x : F) :
 
 @[simp]
 theorem extendTo𝕜'_apply_re (fr : F →ₗ[ℝ] ℝ) (x : F) : re (fr.extendTo𝕜' x : 𝕜) = fr x := by
-  simp only [extendTo𝕜'_apply, map_sub, MulZeroClass.zero_mul, MulZeroClass.mul_zero, sub_zero,
+  simp only [extendTo𝕜'_apply, map_sub, zero_mul, mul_zero, sub_zero,
     isROrC_simps]
 #align linear_map.extend_to_𝕜'_apply_re LinearMap.extendTo𝕜'_apply_re
 

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

This has nice performance benefits.

@@ -37,7 +37,7 @@ open IsROrC
 
 open ComplexConjugate
 
-variable {𝕜 : Type _} [IsROrC 𝕜] {F : Type _} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
+variable {𝕜 : Type*} [IsROrC 𝕜] {F : Type*} [SeminormedAddCommGroup F] [NormedSpace 𝕜 F]
 
 namespace LinearMap
 

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ruben Van de Velde
-
-! This file was ported from Lean 3 source module analysis.normed_space.extend
-! leanprover-community/mathlib commit 3f655f5297b030a87d641ad4e825af8d9679eb0b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.OperatorNorm
 import Mathlib.Algebra.Algebra.RestrictScalars
 import Mathlib.Data.IsROrC.Basic
 
+#align_import analysis.normed_space.extend from "leanprover-community/mathlib"@"3f655f5297b030a87d641ad4e825af8d9679eb0b"
+
 /-!
 # Extending a continuous `ℝ`-linear map to a continuous `𝕜`-linear map