analysis.complex.operator_normMathlib.Analysis.Complex.OperatorNorm

This file has been ported!

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
 import Analysis.Complex.Basic
-import Analysis.NormedSpace.OperatorNorm
+import Analysis.NormedSpace.OperatorNorm.Basic
 import Data.Complex.Determinant
 
 #align_import analysis.complex.operator_norm from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
Diff
@@ -47,7 +47,7 @@ theorem reCLM_norm : ‖reCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
       1 = ‖reCLM 1‖ := by simp
-      _ ≤ ‖reCLM‖ := unit_le_op_norm _ _ (by simp)
+      _ ≤ ‖reCLM‖ := unit_le_opNorm _ _ (by simp)
 #align complex.re_clm_norm Complex.reCLM_norm
 -/
 
@@ -64,7 +64,7 @@ theorem imCLM_norm : ‖imCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
       1 = ‖imCLM I‖ := by simp
-      _ ≤ ‖imCLM‖ := unit_le_op_norm _ _ (by simp)
+      _ ≤ ‖imCLM‖ := unit_le_opNorm _ _ (by simp)
 #align complex.im_clm_norm Complex.imCLM_norm
 -/
 
Diff
@@ -25,82 +25,82 @@ open ContinuousLinearMap
 
 namespace Complex
 
-#print Complex.det_conjLie /-
+#print Complex.det_conjLIE /-
 /-- The determinant of `conj_lie`, as a linear map. -/
 @[simp]
-theorem det_conjLie : (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
+theorem det_conjLIE : (conjLIE.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
   det_conjAe
-#align complex.det_conj_lie Complex.det_conjLie
+#align complex.det_conj_lie Complex.det_conjLIE
 -/
 
-#print Complex.linearEquiv_det_conjLie /-
+#print Complex.linearEquiv_det_conjLIE /-
 /-- The determinant of `conj_lie`, as a linear equiv. -/
 @[simp]
-theorem linearEquiv_det_conjLie : conjLie.toLinearEquiv.det = -1 :=
+theorem linearEquiv_det_conjLIE : conjLIE.toLinearEquiv.det = -1 :=
   linearEquiv_det_conjAe
-#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLie
+#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLIE
 -/
 
-#print Complex.reClm_norm /-
+#print Complex.reCLM_norm /-
 @[simp]
-theorem reClm_norm : ‖reClm‖ = 1 :=
+theorem reCLM_norm : ‖reCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
-      1 = ‖reClm 1‖ := by simp
-      _ ≤ ‖reClm‖ := unit_le_op_norm _ _ (by simp)
-#align complex.re_clm_norm Complex.reClm_norm
+      1 = ‖reCLM 1‖ := by simp
+      _ ≤ ‖reCLM‖ := unit_le_op_norm _ _ (by simp)
+#align complex.re_clm_norm Complex.reCLM_norm
 -/
 
-#print Complex.reClm_nnnorm /-
+#print Complex.reCLM_nnnorm /-
 @[simp]
-theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
-  Subtype.ext reClm_norm
-#align complex.re_clm_nnnorm Complex.reClm_nnnorm
+theorem reCLM_nnnorm : ‖reCLM‖₊ = 1 :=
+  Subtype.ext reCLM_norm
+#align complex.re_clm_nnnorm Complex.reCLM_nnnorm
 -/
 
-#print Complex.imClm_norm /-
+#print Complex.imCLM_norm /-
 @[simp]
-theorem imClm_norm : ‖imClm‖ = 1 :=
+theorem imCLM_norm : ‖imCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
-      1 = ‖imClm I‖ := by simp
-      _ ≤ ‖imClm‖ := unit_le_op_norm _ _ (by simp)
-#align complex.im_clm_norm Complex.imClm_norm
+      1 = ‖imCLM I‖ := by simp
+      _ ≤ ‖imCLM‖ := unit_le_op_norm _ _ (by simp)
+#align complex.im_clm_norm Complex.imCLM_norm
 -/
 
-#print Complex.imClm_nnnorm /-
+#print Complex.imCLM_nnnorm /-
 @[simp]
-theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
-  Subtype.ext imClm_norm
-#align complex.im_clm_nnnorm Complex.imClm_nnnorm
+theorem imCLM_nnnorm : ‖imCLM‖₊ = 1 :=
+  Subtype.ext imCLM_norm
+#align complex.im_clm_nnnorm Complex.imCLM_nnnorm
 -/
 
-#print Complex.conjCle_norm /-
+#print Complex.conjCLE_norm /-
 @[simp]
-theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
-  conjLie.toLinearIsometry.norm_toContinuousLinearMap
-#align complex.conj_cle_norm Complex.conjCle_norm
+theorem conjCLE_norm : ‖(conjCLE : ℂ →L[ℝ] ℂ)‖ = 1 :=
+  conjLIE.toLinearIsometry.norm_toContinuousLinearMap
+#align complex.conj_cle_norm Complex.conjCLE_norm
 -/
 
-#print Complex.conjCle_nnorm /-
+#print Complex.conjCLE_nnorm /-
 @[simp]
-theorem conjCle_nnorm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
-  Subtype.ext conjCle_norm
-#align complex.conj_cle_nnorm Complex.conjCle_nnorm
+theorem conjCLE_nnorm : ‖(conjCLE : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
+  Subtype.ext conjCLE_norm
+#align complex.conj_cle_nnorm Complex.conjCLE_nnorm
 -/
 
-#print Complex.ofRealClm_norm /-
+#print Complex.ofRealCLM_norm /-
 @[simp]
-theorem ofRealClm_norm : ‖ofRealClm‖ = 1 :=
-  ofRealLi.norm_toContinuousLinearMap
-#align complex.of_real_clm_norm Complex.ofRealClm_norm
+theorem ofRealCLM_norm : ‖ofRealCLM‖ = 1 :=
+  ofRealLI.norm_toContinuousLinearMap
+#align complex.of_real_clm_norm Complex.ofRealCLM_norm
 -/
 
-#print Complex.ofRealClm_nnnorm /-
+#print Complex.ofRealCLM_nnnorm /-
 @[simp]
-theorem ofRealClm_nnnorm : ‖ofRealClm‖₊ = 1 :=
-  Subtype.ext <| ofRealClm_norm
-#align complex.of_real_clm_nnnorm Complex.ofRealClm_nnnorm
+theorem ofRealCLM_nnnorm : ‖ofRealCLM‖₊ = 1 :=
+  Subtype.ext <| ofRealCLM_norm
+#align complex.of_real_clm_nnnorm Complex.ofRealCLM_nnnorm
 -/
 
 end Complex
Diff
@@ -3,9 +3,9 @@ Copyright (c) Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.Analysis.Complex.Basic
-import Mathbin.Analysis.NormedSpace.OperatorNorm
-import Mathbin.Data.Complex.Determinant
+import Analysis.Complex.Basic
+import Analysis.NormedSpace.OperatorNorm
+import Data.Complex.Determinant
 
 #align_import analysis.complex.operator_norm from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
 
Diff
@@ -2,16 +2,13 @@
 Copyright (c) Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module analysis.complex.operator_norm
-! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Complex.Basic
 import Mathbin.Analysis.NormedSpace.OperatorNorm
 import Mathbin.Data.Complex.Determinant
 
+#align_import analysis.complex.operator_norm from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
+
 /-! # The basic continuous linear maps associated to `ℂ`
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
Diff
@@ -28,18 +28,23 @@ open ContinuousLinearMap
 
 namespace Complex
 
+#print Complex.det_conjLie /-
 /-- The determinant of `conj_lie`, as a linear map. -/
 @[simp]
 theorem det_conjLie : (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
   det_conjAe
 #align complex.det_conj_lie Complex.det_conjLie
+-/
 
+#print Complex.linearEquiv_det_conjLie /-
 /-- The determinant of `conj_lie`, as a linear equiv. -/
 @[simp]
 theorem linearEquiv_det_conjLie : conjLie.toLinearEquiv.det = -1 :=
   linearEquiv_det_conjAe
 #align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLie
+-/
 
+#print Complex.reClm_norm /-
 @[simp]
 theorem reClm_norm : ‖reClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
@@ -47,12 +52,16 @@ theorem reClm_norm : ‖reClm‖ = 1 :=
       1 = ‖reClm 1‖ := by simp
       _ ≤ ‖reClm‖ := unit_le_op_norm _ _ (by simp)
 #align complex.re_clm_norm Complex.reClm_norm
+-/
 
+#print Complex.reClm_nnnorm /-
 @[simp]
 theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
   Subtype.ext reClm_norm
 #align complex.re_clm_nnnorm Complex.reClm_nnnorm
+-/
 
+#print Complex.imClm_norm /-
 @[simp]
 theorem imClm_norm : ‖imClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
@@ -60,31 +69,42 @@ theorem imClm_norm : ‖imClm‖ = 1 :=
       1 = ‖imClm I‖ := by simp
       _ ≤ ‖imClm‖ := unit_le_op_norm _ _ (by simp)
 #align complex.im_clm_norm Complex.imClm_norm
+-/
 
+#print Complex.imClm_nnnorm /-
 @[simp]
 theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
   Subtype.ext imClm_norm
 #align complex.im_clm_nnnorm Complex.imClm_nnnorm
+-/
 
+#print Complex.conjCle_norm /-
 @[simp]
 theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
   conjLie.toLinearIsometry.norm_toContinuousLinearMap
 #align complex.conj_cle_norm Complex.conjCle_norm
+-/
 
+#print Complex.conjCle_nnorm /-
 @[simp]
 theorem conjCle_nnorm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
   Subtype.ext conjCle_norm
 #align complex.conj_cle_nnorm Complex.conjCle_nnorm
+-/
 
+#print Complex.ofRealClm_norm /-
 @[simp]
 theorem ofRealClm_norm : ‖ofRealClm‖ = 1 :=
   ofRealLi.norm_toContinuousLinearMap
 #align complex.of_real_clm_norm Complex.ofRealClm_norm
+-/
 
+#print Complex.ofRealClm_nnnorm /-
 @[simp]
 theorem ofRealClm_nnnorm : ‖ofRealClm‖₊ = 1 :=
   Subtype.ext <| ofRealClm_norm
 #align complex.of_real_clm_nnnorm Complex.ofRealClm_nnnorm
+-/
 
 end Complex
 
Diff
@@ -46,7 +46,6 @@ theorem reClm_norm : ‖reClm‖ = 1 :=
     calc
       1 = ‖reClm 1‖ := by simp
       _ ≤ ‖reClm‖ := unit_le_op_norm _ _ (by simp)
-      
 #align complex.re_clm_norm Complex.reClm_norm
 
 @[simp]
@@ -60,7 +59,6 @@ theorem imClm_norm : ‖imClm‖ = 1 :=
     calc
       1 = ‖imClm I‖ := by simp
       _ ≤ ‖imClm‖ := unit_le_op_norm _ _ (by simp)
-      
 #align complex.im_clm_norm Complex.imClm_norm
 
 @[simp]
Diff
@@ -28,30 +28,18 @@ open ContinuousLinearMap
 
 namespace Complex
 
-/- warning: complex.det_conj_lie -> Complex.det_conjLie is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.det_conj_lie Complex.det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear map. -/
 @[simp]
 theorem det_conjLie : (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
   det_conjAe
 #align complex.det_conj_lie Complex.det_conjLie
 
-/- warning: complex.linear_equiv_det_conj_lie -> Complex.linearEquiv_det_conjLie is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear equiv. -/
 @[simp]
 theorem linearEquiv_det_conjLie : conjLie.toLinearEquiv.det = -1 :=
   linearEquiv_det_conjAe
 #align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLie
 
-/- warning: complex.re_clm_norm -> Complex.reClm_norm is a dubious translation:
-lean 3 declaration is
-  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.reClm) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
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-Case conversion may be inaccurate. Consider using '#align complex.re_clm_norm Complex.reClm_normₓ'. -/
 @[simp]
 theorem reClm_norm : ‖reClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
@@ -61,20 +49,11 @@ theorem reClm_norm : ‖reClm‖ = 1 :=
       
 #align complex.re_clm_norm Complex.reClm_norm
 
-/- warning: complex.re_clm_nnnorm -> Complex.reClm_nnnorm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.re_clm_nnnorm Complex.reClm_nnnormₓ'. -/
 @[simp]
 theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
   Subtype.ext reClm_norm
 #align complex.re_clm_nnnorm Complex.reClm_nnnorm
 
-/- warning: complex.im_clm_norm -> Complex.imClm_norm is a dubious translation:
-lean 3 declaration is
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-  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.imClm) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
-Case conversion may be inaccurate. Consider using '#align complex.im_clm_norm Complex.imClm_normₓ'. -/
 @[simp]
 theorem imClm_norm : ‖imClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
@@ -84,44 +63,26 @@ theorem imClm_norm : ‖imClm‖ = 1 :=
       
 #align complex.im_clm_norm Complex.imClm_norm
 
-/- warning: complex.im_clm_nnnorm -> Complex.imClm_nnnorm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.im_clm_nnnorm Complex.imClm_nnnormₓ'. -/
 @[simp]
 theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
   Subtype.ext imClm_norm
 #align complex.im_clm_nnnorm Complex.imClm_nnnorm
 
-/- warning: complex.conj_cle_norm -> Complex.conjCle_norm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.conj_cle_norm Complex.conjCle_normₓ'. -/
 @[simp]
 theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
   conjLie.toLinearIsometry.norm_toContinuousLinearMap
 #align complex.conj_cle_norm Complex.conjCle_norm
 
-/- warning: complex.conj_cle_nnorm -> Complex.conjCle_nnorm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.conj_cle_nnorm Complex.conjCle_nnormₓ'. -/
 @[simp]
 theorem conjCle_nnorm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
   Subtype.ext conjCle_norm
 #align complex.conj_cle_nnorm Complex.conjCle_nnorm
 
-/- warning: complex.of_real_clm_norm -> Complex.ofRealClm_norm is a dubious translation:
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-  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real.module (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, 0} Real Real Real Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.ofRealClm) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align complex.of_real_clm_norm Complex.ofRealClm_normₓ'. -/
 @[simp]
 theorem ofRealClm_norm : ‖ofRealClm‖ = 1 :=
   ofRealLi.norm_toContinuousLinearMap
 #align complex.of_real_clm_norm Complex.ofRealClm_norm
 
-/- warning: complex.of_real_clm_nnnorm -> Complex.ofRealClm_nnnorm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.of_real_clm_nnnorm Complex.ofRealClm_nnnormₓ'. -/
 @[simp]
 theorem ofRealClm_nnnorm : ‖ofRealClm‖₊ = 1 :=
   Subtype.ext <| ofRealClm_norm
Diff
@@ -29,10 +29,7 @@ open ContinuousLinearMap
 namespace Complex
 
 /- warning: complex.det_conj_lie -> Complex.det_conjLie is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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(NormedField.toNormedSpace.{0} Real Real.normedField))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie))) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex 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+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.det_conj_lie Complex.det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear map. -/
 @[simp]
@@ -41,10 +38,7 @@ theorem det_conjLie : (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
 #align complex.det_conj_lie Complex.det_conjLie
 
 /- warning: complex.linear_equiv_det_conj_lie -> Complex.linearEquiv_det_conjLie is a dubious translation:
-lean 3 declaration is
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(RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) => (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) -> (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (MonoidHom.hasCoeToFun.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det.{0, 0} Real Real.commRing Complex Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) Complex.conjLie)) (Neg.neg.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.hasNeg.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (NonUnitalNonAssocRing.toHasDistribNeg.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring)))) (OfNat.ofNat.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (OfNat.mk.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (One.one.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (MulOneClass.toHasOne.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))))))))
-but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear equiv. -/
 @[simp]
@@ -68,10 +62,7 @@ theorem reClm_norm : ‖reClm‖ = 1 :=
 #align complex.re_clm_norm Complex.reClm_norm
 
 /- warning: complex.re_clm_nnnorm -> Complex.reClm_nnnorm is a dubious translation:
-lean 3 declaration is
-  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (ContinuousLinearMap.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSemiNormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.reClm) (OfNat.ofNat.{0} NNReal 1 (OfNat.mk.{0} NNReal 1 (One.one.{0} NNReal (AddMonoidWithOne.toOne.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))
-but is expected to have type
-  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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))) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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))) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.reClm) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.re_clm_nnnorm Complex.reClm_nnnormₓ'. -/
 @[simp]
 theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
@@ -94,10 +85,7 @@ theorem imClm_norm : ‖imClm‖ = 1 :=
 #align complex.im_clm_norm Complex.imClm_norm
 
 /- warning: complex.im_clm_nnnorm -> Complex.imClm_nnnorm is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.im_clm_nnnorm Complex.imClm_nnnormₓ'. -/
 @[simp]
 theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
@@ -105,10 +93,7 @@ theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
 #align complex.im_clm_nnnorm Complex.imClm_nnnorm
 
 /- warning: complex.conj_cle_norm -> Complex.conjCle_norm is a dubious translation:
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(One.toOfNat1.{0} Real Real.instOneReal))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.conj_cle_norm Complex.conjCle_normₓ'. -/
 @[simp]
 theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
@@ -116,10 +101,7 @@ theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
 #align complex.conj_cle_norm Complex.conjCle_norm
 
 /- warning: complex.conj_cle_nnorm -> Complex.conjCle_nnorm is a dubious translation:
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(NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjCle)) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.conj_cle_nnorm Complex.conjCle_nnormₓ'. -/
 @[simp]
 theorem conjCle_nnorm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
@@ -138,10 +120,7 @@ theorem ofRealClm_norm : ‖ofRealClm‖ = 1 :=
 #align complex.of_real_clm_norm Complex.ofRealClm_norm
 
 /- warning: complex.of_real_clm_nnnorm -> Complex.ofRealClm_nnnorm is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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)) 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) (ContinuousLinearMap.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Real Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.ofRealClm) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.of_real_clm_nnnorm Complex.ofRealClm_nnnormₓ'. -/
 @[simp]
 theorem ofRealClm_nnnorm : ‖ofRealClm‖₊ = 1 :=
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.complex.operator_norm
-! leanprover-community/mathlib commit 468b141b14016d54b479eb7a0fff1e360b7e3cf6
+! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Data.Complex.Determinant
 
 /-! # The basic continuous linear maps associated to `ℂ`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The continuous linear maps `complex.re_clm` (real part), `complex.im_clm` (imaginary part),
 `complex.conj_cle` (conjugation), and `complex.of_real_clm` (inclusion of `ℝ`) were introduced in
 `analysis.complex.operator_norm`.  This file contains a few calculations requiring more imports:
Diff
@@ -29,7 +29,7 @@ namespace Complex
 lean 3 declaration is
   Eq.{1} Real (coeFn.{1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (fun (_x : MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) => (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) -> Real) (MonoidHom.hasCoeToFun.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Complex.module.{0} Real Real.semiring Real.module)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (LinearEquiv.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (HasLiftT.mk.{1, 1} (LinearEquiv.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (CoeTCₓ.coe.{1, 1} (LinearEquiv.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (coeBase.{1, 1} (LinearEquiv.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearEquiv.LinearMap.hasCoe.{0, 0, 0, 0} Real Real Complex Complex Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) (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))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) Complex.conjLie))) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Real) (LinearEquiv.toLinearMap.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} 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(Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex 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(NormedField.toNormedSpace.{0} Real Real.normedField))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie))) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Real) (LinearEquiv.toLinearMap.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie))) Real.instOneReal)))
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Real) (LinearEquiv.toLinearMap.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie))) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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 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(NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie))) Real.instOneReal)))
 Case conversion may be inaccurate. Consider using '#align complex.det_conj_lie Complex.det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear map. -/
 @[simp]
@@ -41,7 +41,7 @@ theorem det_conjLie : (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
 lean 3 declaration is
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Real.commRing))))))))
 but is expected to have type
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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivInvOneMonoid.toInvOneClass.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivisionMonoid.toDivInvOneMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivisionMonoid.toDivInvOneMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
 Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear equiv. -/
 @[simp]
Diff
@@ -25,18 +25,36 @@ open ContinuousLinearMap
 
 namespace Complex
 
+/- warning: complex.det_conj_lie -> Complex.det_conjLie is a dubious translation:
+lean 3 declaration is
+  Eq.{1} Real (coeFn.{1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (fun (_x : MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) => (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) -> Real) (MonoidHom.hasCoeToFun.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring 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Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Complex.module.{0} Real Real.semiring Real.module)))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Complex.module.{0} Real Real.semiring Real.module)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (LinearEquiv.{0, 0, 0, 0} 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) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearMap.{0, 0, 0, 0} Real Real Real.semiring 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Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (LinearEquiv.LinearMap.hasCoe.{0, 0, 0, 0} Real Real Complex Complex Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (AddCommGroup.toAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real 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Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) Complex.conjLie))) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
+but is expected to have type
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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} 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(Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie))) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} 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+Case conversion may be inaccurate. Consider using '#align complex.det_conj_lie Complex.det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear map. -/
 @[simp]
 theorem det_conjLie : (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ).det = -1 :=
   det_conjAe
 #align complex.det_conj_lie Complex.det_conjLie
 
+/- warning: complex.linear_equiv_det_conj_lie -> Complex.linearEquiv_det_conjLie is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} 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Complex.conjLie)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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(DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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(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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex 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(NormedField.toNormedSpace.{0} Real Real.normedField))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (fun (_x : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real 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(Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} 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Real.semiring (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)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjLie)) (DivInvOneMonoid.toInvOneClass.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (LinearIsometryEquiv.toLinearEquiv.{0, 0, 0, 0} 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) Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex 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(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))) Complex.conjLie)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
+Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLieₓ'. -/
 /-- The determinant of `conj_lie`, as a linear equiv. -/
 @[simp]
 theorem linearEquiv_det_conjLie : conjLie.toLinearEquiv.det = -1 :=
   linearEquiv_det_conjAe
 #align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLie
 
+/- warning: complex.re_clm_norm -> Complex.reClm_norm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.reClm) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.reClm) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align complex.re_clm_norm Complex.reClm_normₓ'. -/
 @[simp]
 theorem reClm_norm : ‖reClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
@@ -46,11 +64,23 @@ theorem reClm_norm : ‖reClm‖ = 1 :=
       
 #align complex.re_clm_norm Complex.reClm_norm
 
+/- warning: complex.re_clm_nnnorm -> Complex.reClm_nnnorm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (ContinuousLinearMap.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSemiNormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.reClm) (OfNat.ofNat.{0} NNReal 1 (OfNat.mk.{0} NNReal 1 (One.one.{0} NNReal (AddMonoidWithOne.toOne.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))
+but is expected to have type
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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))) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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))) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.reClm) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+Case conversion may be inaccurate. Consider using '#align complex.re_clm_nnnorm Complex.reClm_nnnormₓ'. -/
 @[simp]
 theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
   Subtype.ext reClm_norm
 #align complex.re_clm_nnnorm Complex.reClm_nnnorm
 
+/- warning: complex.im_clm_norm -> Complex.imClm_norm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.imClm) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.imClm) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align complex.im_clm_norm Complex.imClm_normₓ'. -/
 @[simp]
 theorem imClm_norm : ‖imClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
@@ -60,26 +90,56 @@ theorem imClm_norm : ‖imClm‖ = 1 :=
       
 #align complex.im_clm_norm Complex.imClm_norm
 
+/- warning: complex.im_clm_nnnorm -> Complex.imClm_nnnorm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.addCommMonoid (Complex.module.{0} Real Real.semiring Real.module) Real.module) (ContinuousLinearMap.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSemiNormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.imClm) (OfNat.ofNat.{0} NNReal 1 (OfNat.mk.{0} NNReal 1 (One.one.{0} NNReal (AddMonoidWithOne.toOne.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))
+but is expected to have type
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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))) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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))) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) Real.instAddCommMonoidReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 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.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Real (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedField.toNormedSpace.{0} Real (NontriviallyNormedField.toNormedField.{0} Real (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.imClm) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+Case conversion may be inaccurate. Consider using '#align complex.im_clm_nnnorm Complex.imClm_nnnormₓ'. -/
 @[simp]
 theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
   Subtype.ext imClm_norm
 #align complex.im_clm_nnnorm Complex.imClm_nnnorm
 
+/- warning: complex.conj_cle_norm -> Complex.conjCle_norm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, 0} Real Real Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (ContinuousLinearEquiv.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} 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(NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} 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Real.semiring) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (coeBase.{1, 1} (ContinuousLinearEquiv.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module))))) Complex.conjCle)) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 0, 0} Real Real Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (ContinuousLinearEquiv.toContinuousLinearMap.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjCle)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align complex.conj_cle_norm Complex.conjCle_normₓ'. -/
 @[simp]
 theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
   conjLie.toLinearIsometry.norm_toContinuousLinearMap
 #align complex.conj_cle_norm Complex.conjCle_norm
 
+/- warning: complex.conj_cle_nnorm -> Complex.conjCle_nnorm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSemiNormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (ContinuousLinearEquiv.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (HasLiftT.mk.{1, 1} (ContinuousLinearEquiv.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (CoeTCₓ.coe.{1, 1} (ContinuousLinearEquiv.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (coeBase.{1, 1} (ContinuousLinearEquiv.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module))))) Complex.conjCle)) (OfNat.ofNat.{0} NNReal 1 (OfNat.mk.{0} NNReal 1 (One.one.{0} NNReal (AddMonoidWithOne.toOne.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))
+but is expected to have type
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex 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Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Complex Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (DenselyNormedField.toNontriviallyNormedField.{0} Real Real.denselyNormedField) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) (ContinuousLinearEquiv.toContinuousLinearMap.{0, 0, 0, 0} 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) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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))) Complex.conjCle)) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+Case conversion may be inaccurate. Consider using '#align complex.conj_cle_nnorm Complex.conjCle_nnormₓ'. -/
 @[simp]
 theorem conjCle_nnorm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
   Subtype.ext conjCle_norm
 #align complex.conj_cle_nnorm Complex.conjCle_nnorm
 
+/- warning: complex.of_real_clm_norm -> Complex.ofRealClm_norm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real.module (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.hasOpNorm.{0, 0, 0, 0} Real Real Real Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.ofRealClm) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne)))
+but is expected to have type
+  Eq.{1} Real (Norm.norm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (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)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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, 0, 0} Real Real Real Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) Complex.ofRealClm) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal))
+Case conversion may be inaccurate. Consider using '#align complex.of_real_clm_norm Complex.ofRealClm_normₓ'. -/
 @[simp]
 theorem ofRealClm_norm : ‖ofRealClm‖ = 1 :=
   ofRealLi.norm_toContinuousLinearMap
 #align complex.of_real_clm_norm Complex.ofRealClm_norm
 
+/- warning: complex.of_real_clm_nnnorm -> Complex.ofRealClm_nnnorm is a dubious translation:
+lean 3 declaration is
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real.module (Complex.module.{0} Real Real.semiring Real.module)) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real.module (Complex.module.{0} Real Real.semiring Real.module)) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real.module (Complex.module.{0} Real Real.semiring Real.module)) (ContinuousLinearMap.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Real Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (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))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSemiNormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.ofRealClm) (OfNat.ofNat.{0} NNReal 1 (OfNat.mk.{0} NNReal 1 (One.one.{0} NNReal (AddMonoidWithOne.toOne.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))
+but is expected to have type
+  Eq.{1} NNReal (NNNorm.nnnorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (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)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (SeminormedAddGroup.toNNNorm.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (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)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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)))) (SeminormedAddCommGroup.toSeminormedAddGroup.{0} (ContinuousLinearMap.{0, 0, 0, 0} 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 Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.instRingComplex)))) (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)) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real Real.semiring (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.toSeminormedAddCommGroup.{0, 0, 0, 0} Real Real Real Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (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))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomIsometric.ids.{0} Real (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)))))) Complex.ofRealClm) (OfNat.ofNat.{0} NNReal 1 (One.toOfNat1.{0} NNReal instNNRealOne))
+Case conversion may be inaccurate. Consider using '#align complex.of_real_clm_nnnorm Complex.ofRealClm_nnnormₓ'. -/
 @[simp]
 theorem ofRealClm_nnnorm : ‖ofRealClm‖₊ = 1 :=
   Subtype.ext <| ofRealClm_norm
Diff
@@ -55,7 +55,7 @@ theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
 theorem imClm_norm : ‖imClm‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
-      1 = ‖imClm i‖ := by simp
+      1 = ‖imClm I‖ := by simp
       _ ≤ ‖imClm‖ := unit_le_op_norm _ _ (by simp)
       
 #align complex.im_clm_norm Complex.imClm_norm

Changes in mathlib4

mathlib3
mathlib4
chore(Analysis/NormedSpace): split up OperatorNorm.lean (#10990)

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

Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
 import Mathlib.Analysis.Complex.Basic
-import Mathlib.Analysis.NormedSpace.OperatorNorm
+import Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace
 import Mathlib.Data.Complex.Determinant
 
 #align_import analysis.complex.operator_norm from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"
@@ -17,7 +17,6 @@ The continuous linear maps `Complex.reCLM` (real part), `Complex.imCLM` (imagina
 the operator norm and (for `Complex.conjCLE`) the determinant.
 -/
 
-
 open ContinuousLinearMap
 
 namespace Complex
chore: rename op_norm to opNorm (#10185)

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

Diff
@@ -39,7 +39,7 @@ theorem reCLM_norm : ‖reCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
       1 = ‖reCLM 1‖ := by simp
-      _ ≤ ‖reCLM‖ := unit_le_op_norm _ _ (by simp)
+      _ ≤ ‖reCLM‖ := unit_le_opNorm _ _ (by simp)
 #align complex.re_clm_norm Complex.reCLM_norm
 
 @[simp]
@@ -52,7 +52,7 @@ theorem imCLM_norm : ‖imCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
       1 = ‖imCLM I‖ := by simp
-      _ ≤ ‖imCLM‖ := unit_le_op_norm _ _ (by simp)
+      _ ≤ ‖imCLM‖ := unit_le_opNorm _ _ (by simp)
 #align complex.im_clm_norm Complex.imCLM_norm
 
 @[simp]
fix: Clm -> CLM, Cle -> CLE (#10018)

Rename

  • Complex.equivRealProdClmComplex.equivRealProdCLM;
    • TODO: should this one use CLE?
  • Complex.reClmComplex.reCLM;
  • Complex.imClmComplex.imCLM;
  • Complex.conjLieComplex.conjLIE;
  • Complex.conjCleComplex.conjCLE;
  • Complex.ofRealLiComplex.ofRealLI;
  • Complex.ofRealClmComplex.ofRealCLM;
  • fderivInnerClmfderivInnerCLM;
  • LinearPMap.adjointDomainMkClmLinearPMap.adjointDomainMkCLM;
  • LinearPMap.adjointDomainMkClmExtendLinearPMap.adjointDomainMkCLMExtend;
  • IsROrC.reClmIsROrC.reCLM;
  • IsROrC.imClmIsROrC.imCLM;
  • IsROrC.conjLieIsROrC.conjLIE;
  • IsROrC.conjCleIsROrC.conjCLE;
  • IsROrC.ofRealLiIsROrC.ofRealLI;
  • IsROrC.ofRealClmIsROrC.ofRealCLM;
  • MeasureTheory.condexpL1ClmMeasureTheory.condexpL1CLM;
  • algebraMapClmalgebraMapCLM;
  • WeakDual.CharacterSpace.toClmWeakDual.CharacterSpace.toCLM;
  • BoundedContinuousFunction.evalClmBoundedContinuousFunction.evalCLM;
  • ContinuousMap.evalClmContinuousMap.evalCLM;
  • TrivSqZeroExt.fstClmTrivSqZeroExt.fstClm;
  • TrivSqZeroExt.sndClmTrivSqZeroExt.sndCLM;
  • TrivSqZeroExt.inlClmTrivSqZeroExt.inlCLM;
  • TrivSqZeroExt.inrClmTrivSqZeroExt.inrCLM

and related theorems.

Diff
@@ -11,10 +11,10 @@ import Mathlib.Data.Complex.Determinant
 
 /-! # The basic continuous linear maps associated to `ℂ`
 
-The continuous linear maps `Complex.reClm` (real part), `Complex.imClm` (imaginary part),
-`Complex.conjCle` (conjugation), and `Complex.ofRealClm` (inclusion of `ℝ`) were introduced in
+The continuous linear maps `Complex.reCLM` (real part), `Complex.imCLM` (imaginary part),
+`Complex.conjCLE` (conjugation), and `Complex.ofRealCLM` (inclusion of `ℝ`) were introduced in
 `Analysis.Complex.Basic`. This file contains a few calculations requiring more imports:
-the operator norm and (for `Complex.conjCle`) the determinant.
+the operator norm and (for `Complex.conjCLE`) the determinant.
 -/
 
 
@@ -22,62 +22,62 @@ open ContinuousLinearMap
 
 namespace Complex
 
-/-- The determinant of `conjLie`, as a linear map. -/
+/-- The determinant of `conjLIE`, as a linear map. -/
 @[simp]
-theorem det_conjLie : LinearMap.det (conjLie.toLinearEquiv : ℂ →ₗ[ℝ] ℂ) = -1 :=
+theorem det_conjLIE : LinearMap.det (conjLIE.toLinearEquiv : ℂ →ₗ[ℝ] ℂ) = -1 :=
   det_conjAe
-#align complex.det_conj_lie Complex.det_conjLie
+#align complex.det_conj_lie Complex.det_conjLIE
 
-/-- The determinant of `conjLie`, as a linear equiv. -/
+/-- The determinant of `conjLIE`, as a linear equiv. -/
 @[simp]
-theorem linearEquiv_det_conjLie : LinearEquiv.det conjLie.toLinearEquiv = -1 :=
+theorem linearEquiv_det_conjLIE : LinearEquiv.det conjLIE.toLinearEquiv = -1 :=
   linearEquiv_det_conjAe
-#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLie
+#align complex.linear_equiv_det_conj_lie Complex.linearEquiv_det_conjLIE
 
 @[simp]
-theorem reClm_norm : ‖reClm‖ = 1 :=
+theorem reCLM_norm : ‖reCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
-      1 = ‖reClm 1‖ := by simp
-      _ ≤ ‖reClm‖ := unit_le_op_norm _ _ (by simp)
-#align complex.re_clm_norm Complex.reClm_norm
+      1 = ‖reCLM 1‖ := by simp
+      _ ≤ ‖reCLM‖ := unit_le_op_norm _ _ (by simp)
+#align complex.re_clm_norm Complex.reCLM_norm
 
 @[simp]
-theorem reClm_nnnorm : ‖reClm‖₊ = 1 :=
-  Subtype.ext reClm_norm
-#align complex.re_clm_nnnorm Complex.reClm_nnnorm
+theorem reCLM_nnnorm : ‖reCLM‖₊ = 1 :=
+  Subtype.ext reCLM_norm
+#align complex.re_clm_nnnorm Complex.reCLM_nnnorm
 
 @[simp]
-theorem imClm_norm : ‖imClm‖ = 1 :=
+theorem imCLM_norm : ‖imCLM‖ = 1 :=
   le_antisymm (LinearMap.mkContinuous_norm_le _ zero_le_one _) <|
     calc
-      1 = ‖imClm I‖ := by simp
-      _ ≤ ‖imClm‖ := unit_le_op_norm _ _ (by simp)
-#align complex.im_clm_norm Complex.imClm_norm
+      1 = ‖imCLM I‖ := by simp
+      _ ≤ ‖imCLM‖ := unit_le_op_norm _ _ (by simp)
+#align complex.im_clm_norm Complex.imCLM_norm
 
 @[simp]
-theorem imClm_nnnorm : ‖imClm‖₊ = 1 :=
-  Subtype.ext imClm_norm
-#align complex.im_clm_nnnorm Complex.imClm_nnnorm
+theorem imCLM_nnnorm : ‖imCLM‖₊ = 1 :=
+  Subtype.ext imCLM_norm
+#align complex.im_clm_nnnorm Complex.imCLM_nnnorm
 
 @[simp]
-theorem conjCle_norm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖ = 1 :=
-  conjLie.toLinearIsometry.norm_toContinuousLinearMap
-#align complex.conj_cle_norm Complex.conjCle_norm
+theorem conjCLE_norm : ‖(conjCLE : ℂ →L[ℝ] ℂ)‖ = 1 :=
+  conjLIE.toLinearIsometry.norm_toContinuousLinearMap
+#align complex.conj_cle_norm Complex.conjCLE_norm
 
 @[simp]
-theorem conjCle_nnorm : ‖(conjCle : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
-  Subtype.ext conjCle_norm
-#align complex.conj_cle_nnorm Complex.conjCle_nnorm
+theorem conjCLE_nnorm : ‖(conjCLE : ℂ →L[ℝ] ℂ)‖₊ = 1 :=
+  Subtype.ext conjCLE_norm
+#align complex.conj_cle_nnorm Complex.conjCLE_nnorm
 
 @[simp]
-theorem ofRealClm_norm : ‖ofRealClm‖ = 1 :=
-  ofRealLi.norm_toContinuousLinearMap
-#align complex.of_real_clm_norm Complex.ofRealClm_norm
+theorem ofRealCLM_norm : ‖ofRealCLM‖ = 1 :=
+  ofRealLI.norm_toContinuousLinearMap
+#align complex.of_real_clm_norm Complex.ofRealCLM_norm
 
 @[simp]
-theorem ofRealClm_nnnorm : ‖ofRealClm‖₊ = 1 :=
-  Subtype.ext <| ofRealClm_norm
-#align complex.of_real_clm_nnnorm Complex.ofRealClm_nnnorm
+theorem ofRealCLM_nnnorm : ‖ofRealCLM‖₊ = 1 :=
+  Subtype.ext <| ofRealCLM_norm
+#align complex.of_real_clm_nnnorm Complex.ofRealCLM_nnnorm
 
 end Complex
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,16 +2,13 @@
 Copyright (c) Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module analysis.complex.operator_norm
-! 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.Complex.Basic
 import Mathlib.Analysis.NormedSpace.OperatorNorm
 import Mathlib.Data.Complex.Determinant
 
+#align_import analysis.complex.operator_norm from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"
+
 /-! # The basic continuous linear maps associated to `ℂ`
 
 The continuous linear maps `Complex.reClm` (real part), `Complex.imClm` (imaginary part),
feat: port Analysis.Complex.OperatorNorm (#4065)

Dependencies 12 + 803

804 files ported (98.5%)
357463 lines ported (98.5%)
Show graph

The unported dependencies are

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