data.is_R_or_C.lemmas | Mathlib porting status

Changes since the initial port

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

Changes in mathlib3

468b141b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

1b0a28e1

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -5,7 +5,7 @@ Authors: Frédéric Dupuis
 -/
 import Analysis.NormedSpace.FiniteDimension
 import FieldTheory.Tower
-import Data.IsROrC.Basic
+import Analysis.RCLike.Basic
 
 #align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
 
@@ -15,7 +15,7 @@ import Data.IsROrC.Basic
 > Any changes to this file require a corresponding PR to mathlib4.-/
 
 
-variable {K E : Type _} [IsROrC K]
+variable {K E : Type _} [RCLike K]
 
 namespace Polynomial
 
@@ -33,17 +33,17 @@ namespace FiniteDimensional
 
 open scoped Classical
 
-open IsROrC
+open RCLike
 
 library_note "is_R_or_C instance"/--
 This instance generates a type-class problem with a metavariable `?m` that should satisfy
 `is_R_or_C ?m`. Since this can only be satisfied by `ℝ` or `ℂ`, this does not cause problems. -/
 
 
-#print FiniteDimensional.isROrC_to_real /-
+#print FiniteDimensional.rclike_to_real /-
 /-- An `is_R_or_C` field is finite-dimensional over `ℝ`, since it is spanned by `{1, I}`. -/
 @[nolint dangerous_instance]
-instance isROrC_to_real : FiniteDimensional ℝ K :=
+instance rclike_to_real : FiniteDimensional ℝ K :=
   ⟨⟨{1, i}, by
       rw [eq_top_iff]
       intro a _
@@ -52,38 +52,38 @@ instance isROrC_to_real : FiniteDimensional ℝ K :=
       · rw [Submodule.mem_span_singleton]
         use im a
       simp [re_add_im a, Algebra.smul_def, algebra_map_eq_of_real]⟩⟩
-#align finite_dimensional.is_R_or_C_to_real FiniteDimensional.isROrC_to_real
+#align finite_dimensional.is_R_or_C_to_real FiniteDimensional.rclike_to_real
 -/
 
 variable (K E) [NormedAddCommGroup E] [NormedSpace K E]
 
-#print FiniteDimensional.proper_isROrC /-
+#print FiniteDimensional.proper_rclike /-
 /-- A finite dimensional vector space over an `is_R_or_C` is a proper metric space.
 
 This is not an instance because it would cause a search for `finite_dimensional ?x E` before
 `is_R_or_C ?x`. -/
-theorem proper_isROrC [FiniteDimensional K E] : ProperSpace E :=
+theorem proper_rclike [FiniteDimensional K E] : ProperSpace E :=
   by
   letI : NormedSpace ℝ E := RestrictScalars.normedSpace ℝ K E
   letI : FiniteDimensional ℝ E := FiniteDimensional.trans ℝ K E
   infer_instance
-#align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_isROrC
+#align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_rclike
 -/
 
 variable {E}
 
-#print FiniteDimensional.IsROrC.properSpace_submodule /-
-instance IsROrC.properSpace_submodule (S : Submodule K E) [FiniteDimensional K ↥S] :
+#print FiniteDimensional.RCLike.properSpace_submodule /-
+instance RCLike.properSpace_submodule (S : Submodule K E) [FiniteDimensional K ↥S] :
     ProperSpace S :=
-  proper_isROrC K S
-#align finite_dimensional.is_R_or_C.proper_space_submodule FiniteDimensional.IsROrC.properSpace_submodule
+  proper_rclike K S
+#align finite_dimensional.is_R_or_C.proper_space_submodule FiniteDimensional.RCLike.properSpace_submodule
 -/
 
 end FiniteDimensional
 
-namespace IsROrC
+namespace RCLike
 
-#print IsROrC.reCLM_norm /-
+#print RCLike.reCLM_norm /-
 @[simp, is_R_or_C_simps]
 theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 :=
   by
@@ -91,22 +91,22 @@ theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 :=
   convert ContinuousLinearMap.ratio_le_opNorm _ (1 : K)
   · simp
   · infer_instance
-#align is_R_or_C.re_clm_norm IsROrC.reCLM_norm
+#align is_R_or_C.re_clm_norm RCLike.reCLM_norm
 -/
 
-#print IsROrC.conjCLE_norm /-
+#print RCLike.conjCLE_norm /-
 @[simp, is_R_or_C_simps]
 theorem conjCLE_norm : ‖(@conjCLE K _ : K →L[ℝ] K)‖ = 1 :=
   (@conjLIE K _).toLinearIsometry.norm_toContinuousLinearMap
-#align is_R_or_C.conj_cle_norm IsROrC.conjCLE_norm
+#align is_R_or_C.conj_cle_norm RCLike.conjCLE_norm
 -/
 
-#print IsROrC.ofRealCLM_norm /-
+#print RCLike.ofRealCLM_norm /-
 @[simp, is_R_or_C_simps]
 theorem ofRealCLM_norm : ‖(ofRealCLM : ℝ →L[ℝ] K)‖ = 1 :=
   LinearIsometry.norm_toContinuousLinearMap ofRealLI
-#align is_R_or_C.of_real_clm_norm IsROrC.ofRealCLM_norm
+#align is_R_or_C.of_real_clm_norm RCLike.ofRealCLM_norm
 -/
 
-end IsROrC
+end RCLike

1b0a28e1

bump to nightly-2024-02-06-08

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

5db42cbe

Diff

@@ -88,7 +88,7 @@ namespace IsROrC
 theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 :=
   by
   apply le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _)
-  convert ContinuousLinearMap.ratio_le_op_norm _ (1 : K)
+  convert ContinuousLinearMap.ratio_le_opNorm _ (1 : K)
   · simp
   · infer_instance
 #align is_R_or_C.re_clm_norm IsROrC.reCLM_norm

1b0a28e1

bump to nightly-2024-01-27-06

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

5704388b

Diff

@@ -83,29 +83,29 @@ end FiniteDimensional
 
 namespace IsROrC
 
-#print IsROrC.reClm_norm /-
+#print IsROrC.reCLM_norm /-
 @[simp, is_R_or_C_simps]
-theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
+theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 :=
   by
   apply le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _)
   convert ContinuousLinearMap.ratio_le_op_norm _ (1 : K)
   · simp
   · infer_instance
-#align is_R_or_C.re_clm_norm IsROrC.reClm_norm
+#align is_R_or_C.re_clm_norm IsROrC.reCLM_norm
 -/
 
-#print IsROrC.conjCle_norm /-
+#print IsROrC.conjCLE_norm /-
 @[simp, is_R_or_C_simps]
-theorem conjCle_norm : ‖(@conjCle K _ : K →L[ℝ] K)‖ = 1 :=
-  (@conjLie K _).toLinearIsometry.norm_toContinuousLinearMap
-#align is_R_or_C.conj_cle_norm IsROrC.conjCle_norm
+theorem conjCLE_norm : ‖(@conjCLE K _ : K →L[ℝ] K)‖ = 1 :=
+  (@conjLIE K _).toLinearIsometry.norm_toContinuousLinearMap
+#align is_R_or_C.conj_cle_norm IsROrC.conjCLE_norm
 -/
 
-#print IsROrC.ofRealClm_norm /-
+#print IsROrC.ofRealCLM_norm /-
 @[simp, is_R_or_C_simps]
-theorem ofRealClm_norm : ‖(ofRealClm : ℝ →L[ℝ] K)‖ = 1 :=
-  LinearIsometry.norm_toContinuousLinearMap ofRealLi
-#align is_R_or_C.of_real_clm_norm IsROrC.ofRealClm_norm
+theorem ofRealCLM_norm : ‖(ofRealCLM : ℝ →L[ℝ] K)‖ = 1 :=
+  LinearIsometry.norm_toContinuousLinearMap ofRealLI
+#align is_R_or_C.of_real_clm_norm IsROrC.ofRealCLM_norm
 -/
 
 end IsROrC

1b0a28e1

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
 -/
-import Mathbin.Analysis.NormedSpace.FiniteDimension
-import Mathbin.FieldTheory.Tower
-import Mathbin.Data.IsROrC.Basic
+import Analysis.NormedSpace.FiniteDimension
+import FieldTheory.Tower
+import Data.IsROrC.Basic
 
 #align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"

1b0a28e1

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
-
-! This file was ported from Lean 3 source module data.is_R_or_C.lemmas
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.FiniteDimension
 import Mathbin.FieldTheory.Tower
 import Mathbin.Data.IsROrC.Basic
 
+#align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
+
 /-! # Further lemmas about `is_R_or_C` 
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

1b0a28e1

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -24,9 +24,11 @@ namespace Polynomial
 
 open scoped Polynomial
 
+#print Polynomial.ofReal_eval /-
 theorem ofReal_eval (p : ℝ[X]) (x : ℝ) : (p.eval x : K) = aeval (↑x) p :=
   (@aeval_algebraMap_apply_eq_algebraMap_eval ℝ K _ _ _ x p).symm
 #align polynomial.of_real_eval Polynomial.ofReal_eval
+-/
 
 end Polynomial
 
@@ -58,6 +60,7 @@ instance isROrC_to_real : FiniteDimensional ℝ K :=
 
 variable (K E) [NormedAddCommGroup E] [NormedSpace K E]
 
+#print FiniteDimensional.proper_isROrC /-
 /-- A finite dimensional vector space over an `is_R_or_C` is a proper metric space.
 
 This is not an instance because it would cause a search for `finite_dimensional ?x E` before
@@ -68,6 +71,7 @@ theorem proper_isROrC [FiniteDimensional K E] : ProperSpace E :=
   letI : FiniteDimensional ℝ E := FiniteDimensional.trans ℝ K E
   infer_instance
 #align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_isROrC
+-/
 
 variable {E}
 
@@ -82,6 +86,7 @@ end FiniteDimensional
 
 namespace IsROrC
 
+#print IsROrC.reClm_norm /-
 @[simp, is_R_or_C_simps]
 theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
   by
@@ -90,16 +95,21 @@ theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
   · simp
   · infer_instance
 #align is_R_or_C.re_clm_norm IsROrC.reClm_norm
+-/
 
+#print IsROrC.conjCle_norm /-
 @[simp, is_R_or_C_simps]
 theorem conjCle_norm : ‖(@conjCle K _ : K →L[ℝ] K)‖ = 1 :=
   (@conjLie K _).toLinearIsometry.norm_toContinuousLinearMap
 #align is_R_or_C.conj_cle_norm IsROrC.conjCle_norm
+-/
 
+#print IsROrC.ofRealClm_norm /-
 @[simp, is_R_or_C_simps]
 theorem ofRealClm_norm : ‖(ofRealClm : ℝ →L[ℝ] K)‖ = 1 :=
   LinearIsometry.norm_toContinuousLinearMap ofRealLi
 #align is_R_or_C.of_real_clm_norm IsROrC.ofRealClm_norm
+-/
 
 end IsROrC

1b0a28e1

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -24,11 +24,9 @@ namespace Polynomial
 
 open scoped Polynomial
 
-#print Polynomial.ofReal_eval /-
 theorem ofReal_eval (p : ℝ[X]) (x : ℝ) : (p.eval x : K) = aeval (↑x) p :=
   (@aeval_algebraMap_apply_eq_algebraMap_eval ℝ K _ _ _ x p).symm
 #align polynomial.of_real_eval Polynomial.ofReal_eval
--/
 
 end Polynomial

1b0a28e1

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -22,7 +22,7 @@ variable {K E : Type _} [IsROrC K]
 
 namespace Polynomial
 
-open Polynomial
+open scoped Polynomial
 
 #print Polynomial.ofReal_eval /-
 theorem ofReal_eval (p : ℝ[X]) (x : ℝ) : (p.eval x : K) = aeval (↑x) p :=
@@ -34,7 +34,7 @@ end Polynomial
 
 namespace FiniteDimensional
 
-open Classical
+open scoped Classical
 
 open IsROrC

1b0a28e1

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -60,12 +60,6 @@ instance isROrC_to_real : FiniteDimensional ℝ K :=
 
 variable (K E) [NormedAddCommGroup E] [NormedSpace K E]
 
-/- warning: finite_dimensional.proper_is_R_or_C -> FiniteDimensional.proper_isROrC is a dubious translation:
-lean 3 declaration is
-  forall (K : Type.{u1}) (E : Type.{u2}) [_inst_1 : IsROrC.{u1} K] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} K E (DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : FiniteDimensional.{u1, u2} K E (NormedDivisionRing.toDivisionRing.{u1} K (NormedField.toNormedDivisionRing.{u1} K (DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} K E (DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ProperSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))
-but is expected to have type
-  forall (K : Type.{u2}) (E : Type.{u1}) [_inst_1 : IsROrC.{u2} K] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} K E (DenselyNormedField.toNormedField.{u2} K (IsROrC.toDenselyNormedField.{u2} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] [_inst_4 : FiniteDimensional.{u2, u1} K E (NormedDivisionRing.toDivisionRing.{u2} K (NormedField.toNormedDivisionRing.{u2} K (DenselyNormedField.toNormedField.{u2} K (IsROrC.toDenselyNormedField.{u2} K _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u1} K E (DenselyNormedField.toNormedField.{u2} K (IsROrC.toDenselyNormedField.{u2} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)], ProperSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))
-Case conversion may be inaccurate. Consider using '#align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_isROrCₓ'. -/
 /-- A finite dimensional vector space over an `is_R_or_C` is a proper metric space.
 
 This is not an instance because it would cause a search for `finite_dimensional ?x E` before
@@ -90,12 +84,6 @@ end FiniteDimensional
 
 namespace IsROrC
 
-/- warning: is_R_or_C.re_clm_norm -> IsROrC.reClm_norm is a dubious translation:
-lean 3 declaration is
-  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (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))) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, u1, 0} Real Real K Real (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))))))) (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) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (IsROrC.reClm.{u1} K _inst_1)) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
-but is expected to have type
-  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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))))))))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (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))) (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, u1, 0} Real Real K Real (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))))))) (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) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (IsROrC.reClm.{u1} K _inst_1)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
-Case conversion may be inaccurate. Consider using '#align is_R_or_C.re_clm_norm IsROrC.reClm_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
   by
@@ -105,20 +93,11 @@ theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
   · infer_instance
 #align is_R_or_C.re_clm_norm IsROrC.reClm_norm
 
-/- warning: is_R_or_C.conj_cle_norm -> IsROrC.conjCle_norm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_R_or_C.conj_cle_norm IsROrC.conjCle_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem conjCle_norm : ‖(@conjCle K _ : K →L[ℝ] K)‖ = 1 :=
   (@conjLie K _).toLinearIsometry.norm_toContinuousLinearMap
 #align is_R_or_C.conj_cle_norm IsROrC.conjCle_norm
 
-/- warning: is_R_or_C.of_real_clm_norm -> IsROrC.ofRealClm_norm is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align is_R_or_C.of_real_clm_norm IsROrC.ofRealClm_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem ofRealClm_norm : ‖(ofRealClm : ℝ →L[ℝ] K)‖ = 1 :=
   LinearIsometry.norm_toContinuousLinearMap ofRealLi

1b0a28e1

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -106,10 +106,7 @@ theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
 #align is_R_or_C.re_clm_norm IsROrC.reClm_norm
 
 /- warning: is_R_or_C.conj_cle_norm -> IsROrC.conjCle_norm is a dubious translation:
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(DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)))) (IsROrC.toNormedAlgebra.{u1} K _inst_1)) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (HasLiftT.mk.{succ u1, succ u1} (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (CoeTCₓ.coe.{succ u1, succ u1} (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (coeBase.{succ u1, succ u1} (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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))))))) (IsROrC.conjCle.{u1} K _inst_1))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
-but is expected to have type
-  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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))))))))) K (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.{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))) (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)))) (ContinuousLinearMap.hasOpNorm.{0, 0, u1, u1} Real Real K 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))))))) (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))))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (ContinuousLinearEquiv.toContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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))))))))) K (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.{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))) (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))) (IsROrC.conjCle.{u1} K _inst_1))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_R_or_C.conj_cle_norm IsROrC.conjCle_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem conjCle_norm : ‖(@conjCle K _ : K →L[ℝ] K)‖ = 1 :=

1b0a28e1

bump to nightly-2023-05-22-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1b0a28e1c93409dbf6d69526863cd9984ef652ce

5dfda1a5

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module data.is_R_or_C.lemmas
-! leanprover-community/mathlib commit 468b141b14016d54b479eb7a0fff1e360b7e3cf6
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -12,7 +12,10 @@ import Mathbin.Analysis.NormedSpace.FiniteDimension
 import Mathbin.FieldTheory.Tower
 import Mathbin.Data.IsROrC.Basic
 
-/-! # Further lemmas about `is_R_or_C` -/
+/-! # Further lemmas about `is_R_or_C` 
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.-/
 
 
 variable {K E : Type _} [IsROrC K]

468b141b

bump to nightly-2023-05-20-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/f51de8769c34652d82d1c8e5f8f18f8374782bed

96840968

Diff

@@ -21,9 +21,11 @@ namespace Polynomial
 
 open Polynomial
 
-theorem of_real_eval (p : ℝ[X]) (x : ℝ) : (p.eval x : K) = aeval (↑x) p :=
+#print Polynomial.ofReal_eval /-
+theorem ofReal_eval (p : ℝ[X]) (x : ℝ) : (p.eval x : K) = aeval (↑x) p :=
   (@aeval_algebraMap_apply_eq_algebraMap_eval ℝ K _ _ _ x p).symm
-#align polynomial.of_real_eval Polynomial.of_real_eval
+#align polynomial.of_real_eval Polynomial.ofReal_eval
+-/
 
 end Polynomial
 
@@ -38,6 +40,7 @@ This instance generates a type-class problem with a metavariable `?m` that shoul
 `is_R_or_C ?m`. Since this can only be satisfied by `ℝ` or `ℂ`, this does not cause problems. -/
 
 
+#print FiniteDimensional.isROrC_to_real /-
 /-- An `is_R_or_C` field is finite-dimensional over `ℝ`, since it is spanned by `{1, I}`. -/
 @[nolint dangerous_instance]
 instance isROrC_to_real : FiniteDimensional ℝ K :=
@@ -50,9 +53,16 @@ instance isROrC_to_real : FiniteDimensional ℝ K :=
         use im a
       simp [re_add_im a, Algebra.smul_def, algebra_map_eq_of_real]⟩⟩
 #align finite_dimensional.is_R_or_C_to_real FiniteDimensional.isROrC_to_real
+-/
 
 variable (K E) [NormedAddCommGroup E] [NormedSpace K E]
 
+/- warning: finite_dimensional.proper_is_R_or_C -> FiniteDimensional.proper_isROrC is a dubious translation:
+lean 3 declaration is
+  forall (K : Type.{u1}) (E : Type.{u2}) [_inst_1 : IsROrC.{u1} K] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} K E (DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : FiniteDimensional.{u1, u2} K E (NormedDivisionRing.toDivisionRing.{u1} K (NormedField.toNormedDivisionRing.{u1} K (DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} K E (DenselyNormedField.toNormedField.{u1} K (IsROrC.toDenselyNormedField.{u1} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ProperSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))
+but is expected to have type
+  forall (K : Type.{u2}) (E : Type.{u1}) [_inst_1 : IsROrC.{u2} K] [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} K E (DenselyNormedField.toNormedField.{u2} K (IsROrC.toDenselyNormedField.{u2} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] [_inst_4 : FiniteDimensional.{u2, u1} K E (NormedDivisionRing.toDivisionRing.{u2} K (NormedField.toNormedDivisionRing.{u2} K (DenselyNormedField.toNormedField.{u2} K (IsROrC.toDenselyNormedField.{u2} K _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2) (NormedSpace.toModule.{u2, u1} K E (DenselyNormedField.toNormedField.{u2} K (IsROrC.toDenselyNormedField.{u2} K _inst_1)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)], ProperSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2))
+Case conversion may be inaccurate. Consider using '#align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_isROrCₓ'. -/
 /-- A finite dimensional vector space over an `is_R_or_C` is a proper metric space.
 
 This is not an instance because it would cause a search for `finite_dimensional ?x E` before
@@ -66,15 +76,23 @@ theorem proper_isROrC [FiniteDimensional K E] : ProperSpace E :=
 
 variable {E}
 
+#print FiniteDimensional.IsROrC.properSpace_submodule /-
 instance IsROrC.properSpace_submodule (S : Submodule K E) [FiniteDimensional K ↥S] :
     ProperSpace S :=
   proper_isROrC K S
 #align finite_dimensional.is_R_or_C.proper_space_submodule FiniteDimensional.IsROrC.properSpace_submodule
+-/
 
 end FiniteDimensional
 
 namespace IsROrC
 
+/- warning: is_R_or_C.re_clm_norm -> IsROrC.reClm_norm is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (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))) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, u1, 0} Real Real K Real (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))))))) (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) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (IsROrC.reClm.{u1} K _inst_1)) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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))))))))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (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))) (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, u1, 0} Real Real K Real (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))))))) (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) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (IsROrC.reClm.{u1} K _inst_1)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align is_R_or_C.re_clm_norm IsROrC.reClm_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
   by
@@ -84,11 +102,23 @@ theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 :=
   · infer_instance
 #align is_R_or_C.re_clm_norm IsROrC.reClm_norm
 
+/- warning: is_R_or_C.conj_cle_norm -> IsROrC.conjCle_norm is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.hasOpNorm.{0, 0, u1, u1} Real Real K 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))))))) (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))))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (HasLiftT.mk.{succ u1, succ u1} (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (CoeTCₓ.coe.{succ u1, succ u1} (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (coeBase.{succ u1, succ u1} (ContinuousLinearEquiv.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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)))))))) K (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.{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))) (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)))) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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)))))))) K (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.{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))) (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))))))) (IsROrC.conjCle.{u1} K _inst_1))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) K (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))))))))) K (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.{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))) (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)))) (ContinuousLinearMap.hasOpNorm.{0, 0, u1, u1} Real Real K 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))))))) (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))))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (ContinuousLinearEquiv.toContinuousLinearMap.{0, 0, u1, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomInvPair.ids.{0} Real Real.semiring) (RingHomInvPair.ids.{0} Real Real.semiring) K (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))))))))) K (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.{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))) (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))) (IsROrC.conjCle.{u1} K _inst_1))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align is_R_or_C.conj_cle_norm IsROrC.conjCle_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem conjCle_norm : ‖(@conjCle K _ : K →L[ℝ] K)‖ = 1 :=
   (@conjLie K _).toLinearIsometry.norm_toContinuousLinearMap
 #align is_R_or_C.conj_cle_norm IsROrC.conjCle_norm
 
+/- warning: is_R_or_C.of_real_clm_norm -> IsROrC.ofRealClm_norm is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid K (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)))))))) Real.module (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)))) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, u1} Real Real Real K (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (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))))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (IsROrC.ofRealClm.{u1} K _inst_1)) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  forall {K : Type.{u1}} [_inst_1 : IsROrC.{u1} K], Eq.{1} Real (Norm.norm.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal K (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.{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)) (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)))) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, u1} Real Real Real K (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (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))))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (NormedAlgebra.toNormedSpace'.{0, u1} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField)) 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)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (IsROrC.ofRealClm.{u1} K _inst_1)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align is_R_or_C.of_real_clm_norm IsROrC.ofRealClm_normₓ'. -/
 @[simp, is_R_or_C_simps]
 theorem ofRealClm_norm : ‖(ofRealClm : ℝ →L[ℝ] K)‖ = 1 :=
   LinearIsometry.norm_toContinuousLinearMap ofRealLi

468b141b

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

468b141b

chore: classify porting notes referring to missing linters (#12098)

Reference the newly created issues #12094 and #12096, as well as the pre-existing #5171. Change all references to #10927 to #5171. Some of these changes were not labelled as "porting note"; change this for good measure.

c5b5490c

Diff

@@ -34,7 +34,8 @@ This instance generates a type-class problem with a metavariable `?m` that shoul
 `RCLike ?m`. Since this can only be satisfied by `ℝ` or `ℂ`, this does not cause problems. -/
 
 /-- An `RCLike` field is finite-dimensional over `ℝ`, since it is spanned by `{1, I}`. -/
--- Porting note: was @[nolint dangerous_instance]
+-- Porting note(#12094): removed nolint; dangerous_instance linter not ported yet
+-- @[nolint dangerous_instance]
 instance rclike_to_real : FiniteDimensional ℝ K :=
   ⟨{1, I}, by
     suffices ∀ x : K, ∃ a b : ℝ, a • 1 + b • I = x by

468b141b

chore: move FiniteDimensional.trans higher up the import hierarchy (#12079)

@YaelDillies pointed out that the import Data.Complex.Module → FieldTheory.Tower brings with it too many things. The only declaration from FieldTheory.Tower needed for Data.Complex.Module is FiniteDimensional.trans, which we can easily move up the import hierarchy (14 imports higher, in fact). So this means we can cut the long pole of Mathlib by up to 13 files.

Specific Zulip discussion starts here: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/The.20long.20pole.20in.20mathlib/near/432796670

6888b634

Diff

@@ -4,7 +4,6 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
 -/
 import Mathlib.Analysis.NormedSpace.FiniteDimension
-import Mathlib.FieldTheory.Tower
 import Mathlib.Analysis.RCLike.Basic
 
 #align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"

468b141b

move(RCLike): Move out of Data (#11753)

RCLike is an analytic typeclass, hence should be under Analysis

783b6bc9

Diff

@@ -5,7 +5,7 @@ Authors: Frédéric Dupuis
 -/
 import Mathlib.Analysis.NormedSpace.FiniteDimension
 import Mathlib.FieldTheory.Tower
-import Mathlib.Data.RCLike.Basic
+import Mathlib.Analysis.RCLike.Basic
 
 #align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"

468b141b

chore: Rename IsROrC to RCLike (#10819)

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.

43618f93

Diff

@@ -5,14 +5,14 @@ Authors: Frédéric Dupuis
 -/
 import Mathlib.Analysis.NormedSpace.FiniteDimension
 import Mathlib.FieldTheory.Tower
-import Mathlib.Data.IsROrC.Basic
+import Mathlib.Data.RCLike.Basic
 
 #align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"
 
-/-! # Further lemmas about `IsROrC` -/
+/-! # Further lemmas about `RCLike` -/
 
 
-variable {K E : Type*} [IsROrC K]
+variable {K E : Type*} [RCLike K]
 
 namespace Polynomial
 
@@ -28,73 +28,73 @@ namespace FiniteDimensional
 
 open scoped Classical
 
-open IsROrC
+open RCLike
 
-library_note "IsROrC instance"/--
+library_note "RCLike instance"/--
 This instance generates a type-class problem with a metavariable `?m` that should satisfy
-`IsROrC ?m`. Since this can only be satisfied by `ℝ` or `ℂ`, this does not cause problems. -/
+`RCLike ?m`. Since this can only be satisfied by `ℝ` or `ℂ`, this does not cause problems. -/
 
-/-- An `IsROrC` field is finite-dimensional over `ℝ`, since it is spanned by `{1, I}`. -/
+/-- An `RCLike` field is finite-dimensional over `ℝ`, since it is spanned by `{1, I}`. -/
 -- Porting note: was @[nolint dangerous_instance]
-instance isROrC_to_real : FiniteDimensional ℝ K :=
+instance rclike_to_real : FiniteDimensional ℝ K :=
   ⟨{1, I}, by
     suffices ∀ x : K, ∃ a b : ℝ, a • 1 + b • I = x by
       simpa [Submodule.eq_top_iff', Submodule.mem_span_pair]
     exact fun x ↦ ⟨re x, im x, by simp [real_smul_eq_coe_mul]⟩⟩
-#align finite_dimensional.is_R_or_C_to_real FiniteDimensional.isROrC_to_real
+#align finite_dimensional.is_R_or_C_to_real FiniteDimensional.rclike_to_real
 
 variable (K E)
 variable [NormedAddCommGroup E] [NormedSpace K E]
 
-/-- A finite dimensional vector space over an `IsROrC` is a proper metric space.
+/-- A finite dimensional vector space over an `RCLike` is a proper metric space.
 
 This is not an instance because it would cause a search for `FiniteDimensional ?x E` before
-`IsROrC ?x`. -/
-theorem proper_isROrC [FiniteDimensional K E] : ProperSpace E := by
+`RCLike ?x`. -/
+theorem proper_rclike [FiniteDimensional K E] : ProperSpace E := by
   letI : NormedSpace ℝ E := RestrictScalars.normedSpace ℝ K E
   letI : FiniteDimensional ℝ E := FiniteDimensional.trans ℝ K E
   infer_instance
-#align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_isROrC
+#align finite_dimensional.proper_is_R_or_C FiniteDimensional.proper_rclike
 
 variable {E}
 
-instance IsROrC.properSpace_submodule (S : Submodule K E) [FiniteDimensional K S] :
+instance RCLike.properSpace_submodule (S : Submodule K E) [FiniteDimensional K S] :
     ProperSpace S :=
-  proper_isROrC K S
-#align finite_dimensional.is_R_or_C.proper_space_submodule FiniteDimensional.IsROrC.properSpace_submodule
+  proper_rclike K S
+#align finite_dimensional.is_R_or_C.proper_space_submodule FiniteDimensional.RCLike.properSpace_submodule
 
 end FiniteDimensional
 
-namespace IsROrC
+namespace RCLike
 
-@[simp, isROrC_simps]
+@[simp, rclike_simps]
 theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 := by
   apply le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _)
   convert ContinuousLinearMap.ratio_le_opNorm (reCLM : K →L[ℝ] ℝ) (1 : K)
   simp
-#align is_R_or_C.re_clm_norm IsROrC.reCLM_norm
+#align is_R_or_C.re_clm_norm RCLike.reCLM_norm
 
-@[simp, isROrC_simps]
+@[simp, rclike_simps]
 theorem conjCLE_norm : ‖(@conjCLE K _ : K →L[ℝ] K)‖ = 1 :=
   (@conjLIE K _).toLinearIsometry.norm_toContinuousLinearMap
-#align is_R_or_C.conj_cle_norm IsROrC.conjCLE_norm
+#align is_R_or_C.conj_cle_norm RCLike.conjCLE_norm
 
-@[simp, isROrC_simps]
+@[simp, rclike_simps]
 theorem ofRealCLM_norm : ‖(ofRealCLM : ℝ →L[ℝ] K)‖ = 1 :=
   -- Porting note: the following timed out
   -- LinearIsometry.norm_toContinuousLinearMap ofRealLI
   LinearIsometry.norm_toContinuousLinearMap _
-#align is_R_or_C.of_real_clm_norm IsROrC.ofRealCLM_norm
+#align is_R_or_C.of_real_clm_norm RCLike.ofRealCLM_norm
 
-end IsROrC
+end RCLike
 
 namespace Polynomial
 
 open ComplexConjugate in
 lemma aeval_conj (p : ℝ[X]) (z : K) : aeval (conj z) p = conj (aeval z p) :=
-  aeval_algHom_apply (IsROrC.conjAe (K := K)) z p
+  aeval_algHom_apply (RCLike.conjAe (K := K)) z p
 
-lemma aeval_ofReal (p : ℝ[X]) (x : ℝ) : aeval (IsROrC.ofReal x : K) p = eval x p :=
-  aeval_algHom_apply IsROrC.ofRealAm x p
+lemma aeval_ofReal (p : ℝ[X]) (x : ℝ) : aeval (RCLike.ofReal x : K) p = eval x p :=
+  aeval_algHom_apply RCLike.ofRealAm x p
 
 end Polynomial

468b141b

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -26,7 +26,7 @@ end Polynomial
 
 namespace FiniteDimensional
 
-open Classical
+open scoped Classical
 
 open IsROrC

468b141b

feat: an irreducible real polynomial has degree ≤2 (#10431)

30c9985e

Diff

@@ -87,3 +87,14 @@ theorem ofRealCLM_norm : ‖(ofRealCLM : ℝ →L[ℝ] K)‖ = 1 :=
 #align is_R_or_C.of_real_clm_norm IsROrC.ofRealCLM_norm
 
 end IsROrC
+
+namespace Polynomial
+
+open ComplexConjugate in
+lemma aeval_conj (p : ℝ[X]) (z : K) : aeval (conj z) p = conj (aeval z p) :=
+  aeval_algHom_apply (IsROrC.conjAe (K := K)) z p
+
+lemma aeval_ofReal (p : ℝ[X]) (x : ℝ) : aeval (IsROrC.ofReal x : K) p = eval x p :=
+  aeval_algHom_apply IsROrC.ofRealAm x p
+
+end Polynomial

468b141b

chore: rename op_norm to opNorm (#10185)

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

e3a011e5

Diff

@@ -70,7 +70,7 @@ namespace IsROrC
 @[simp, isROrC_simps]
 theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 := by
   apply le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _)
-  convert ContinuousLinearMap.ratio_le_op_norm (reCLM : K →L[ℝ] ℝ) (1 : K)
+  convert ContinuousLinearMap.ratio_le_opNorm (reCLM : K →L[ℝ] ℝ) (1 : K)
   simp
 #align is_R_or_C.re_clm_norm IsROrC.reCLM_norm

468b141b

fix: Clm -> CLM, Cle -> CLE (#10018)

Rename

Complex.equivRealProdClm → Complex.equivRealProdCLM;
- TODO: should this one use CLE?
Complex.reClm → Complex.reCLM;
Complex.imClm → Complex.imCLM;
Complex.conjLie → Complex.conjLIE;
Complex.conjCle → Complex.conjCLE;
Complex.ofRealLi → Complex.ofRealLI;
Complex.ofRealClm → Complex.ofRealCLM;
fderivInnerClm → fderivInnerCLM;
LinearPMap.adjointDomainMkClm → LinearPMap.adjointDomainMkCLM;
LinearPMap.adjointDomainMkClmExtend → LinearPMap.adjointDomainMkCLMExtend;
IsROrC.reClm → IsROrC.reCLM;
IsROrC.imClm → IsROrC.imCLM;
IsROrC.conjLie → IsROrC.conjLIE;
IsROrC.conjCle → IsROrC.conjCLE;
IsROrC.ofRealLi → IsROrC.ofRealLI;
IsROrC.ofRealClm → IsROrC.ofRealCLM;
MeasureTheory.condexpL1Clm → MeasureTheory.condexpL1CLM;
algebraMapClm → algebraMapCLM;
WeakDual.CharacterSpace.toClm → WeakDual.CharacterSpace.toCLM;
BoundedContinuousFunction.evalClm → BoundedContinuousFunction.evalCLM;
ContinuousMap.evalClm → ContinuousMap.evalCLM;
TrivSqZeroExt.fstClm → TrivSqZeroExt.fstClm;
TrivSqZeroExt.sndClm → TrivSqZeroExt.sndCLM;
TrivSqZeroExt.inlClm → TrivSqZeroExt.inlCLM;
TrivSqZeroExt.inrClm → TrivSqZeroExt.inrCLM

and related theorems.

e3b68186

Diff

@@ -68,22 +68,22 @@ end FiniteDimensional
 namespace IsROrC
 
 @[simp, isROrC_simps]
-theorem reClm_norm : ‖(reClm : K →L[ℝ] ℝ)‖ = 1 := by
+theorem reCLM_norm : ‖(reCLM : K →L[ℝ] ℝ)‖ = 1 := by
   apply le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _)
-  convert ContinuousLinearMap.ratio_le_op_norm (reClm : K →L[ℝ] ℝ) (1 : K)
+  convert ContinuousLinearMap.ratio_le_op_norm (reCLM : K →L[ℝ] ℝ) (1 : K)
   simp
-#align is_R_or_C.re_clm_norm IsROrC.reClm_norm
+#align is_R_or_C.re_clm_norm IsROrC.reCLM_norm
 
 @[simp, isROrC_simps]
-theorem conjCle_norm : ‖(@conjCle K _ : K →L[ℝ] K)‖ = 1 :=
-  (@conjLie K _).toLinearIsometry.norm_toContinuousLinearMap
-#align is_R_or_C.conj_cle_norm IsROrC.conjCle_norm
+theorem conjCLE_norm : ‖(@conjCLE K _ : K →L[ℝ] K)‖ = 1 :=
+  (@conjLIE K _).toLinearIsometry.norm_toContinuousLinearMap
+#align is_R_or_C.conj_cle_norm IsROrC.conjCLE_norm
 
 @[simp, isROrC_simps]
-theorem ofRealClm_norm : ‖(ofRealClm : ℝ →L[ℝ] K)‖ = 1 :=
+theorem ofRealCLM_norm : ‖(ofRealCLM : ℝ →L[ℝ] K)‖ = 1 :=
   -- Porting note: the following timed out
-  -- LinearIsometry.norm_toContinuousLinearMap ofRealLi
+  -- LinearIsometry.norm_toContinuousLinearMap ofRealLI
   LinearIsometry.norm_toContinuousLinearMap _
-#align is_R_or_C.of_real_clm_norm IsROrC.ofRealClm_norm
+#align is_R_or_C.of_real_clm_norm IsROrC.ofRealCLM_norm
 
 end IsROrC

468b141b

chore: golf FiniteDimensional.isROrC_to_real (#9921)

0b79434b

Diff

@@ -34,18 +34,13 @@ library_note "IsROrC instance"/--
 This instance generates a type-class problem with a metavariable `?m` that should satisfy
 `IsROrC ?m`. Since this can only be satisfied by `ℝ` or `ℂ`, this does not cause problems. -/
 
-
 /-- An `IsROrC` field is finite-dimensional over `ℝ`, since it is spanned by `{1, I}`. -/
 -- Porting note: was @[nolint dangerous_instance]
 instance isROrC_to_real : FiniteDimensional ℝ K :=
-  ⟨⟨{1, I}, by
-      rw [eq_top_iff]
-      intro a _
-      rw [Finset.coe_insert, Finset.coe_singleton, Submodule.mem_span_insert]
-      refine' ⟨re a, im a • I, _, _⟩
-      · rw [Submodule.mem_span_singleton]
-        use im a
-      simp [re_add_im a, Algebra.smul_def, algebraMap_eq_ofReal]⟩⟩
+  ⟨{1, I}, by
+    suffices ∀ x : K, ∃ a b : ℝ, a • 1 + b • I = x by
+      simpa [Submodule.eq_top_iff', Submodule.mem_span_pair]
+    exact fun x ↦ ⟨re x, im x, by simp [real_smul_eq_coe_mul]⟩⟩
 #align finite_dimensional.is_R_or_C_to_real FiniteDimensional.isROrC_to_real
 
 variable (K E)

468b141b

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -12,7 +12,7 @@ import Mathlib.Data.IsROrC.Basic
 /-! # Further lemmas about `IsROrC` -/
 
 
-variable {K E : Type _} [IsROrC K]
+variable {K E : Type*} [IsROrC K]
 
 namespace Polynomial

468b141b

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
-
-! This file was ported from Lean 3 source module data.is_R_or_C.lemmas
-! leanprover-community/mathlib commit 468b141b14016d54b479eb7a0fff1e360b7e3cf6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.FiniteDimension
 import Mathlib.FieldTheory.Tower
 import Mathlib.Data.IsROrC.Basic
 
+#align_import data.is_R_or_C.lemmas from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"
+
 /-! # Further lemmas about `IsROrC` -/

468b141b

feat: port Data.IsROrC.Lemmas (#4141)

63bcb96b

`data.is_R_or_C.lemmas` ⟷ `Mathlib.Data.IsROrC.Lemmas`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 816

data.is_R_or_C.lemmas ⟷ Mathlib.Data.IsROrC.Lemmas

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 816

`data.is_R_or_C.lemmas` ⟷ `Mathlib.Data.IsROrC.Lemmas`