analysis.complex.conformal ⟷ Mathlib.Analysis.Complex.Conformal

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

@@ -43,8 +43,8 @@ open Complex ContinuousLinearMap
 open scoped ComplexConjugate
 
 #print isConformalMap_conj /-
-theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
-  conjLie.toLinearIsometry.IsConformalMap
+theorem isConformalMap_conj : IsConformalMap (conjLIE : ℂ →L[ℝ] ℂ) :=
+  conjLIE.toLinearIsometry.IsConformalMap
 #align is_conformal_map_conj isConformalMap_conj
 -/
 
@@ -76,7 +76,7 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
 
 #print isConformalMap_complex_linear_conj /-
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
-    IsConformalMap ((map.restrictScalars ℝ).comp (conjCle : ℂ →L[ℝ] ℂ)) :=
+    IsConformalMap ((map.restrictScalars ℝ).comp (conjCLE : ℂ →L[ℝ] ℂ)) :=
   (isConformalMap_complex_linear nonzero).comp isConformalMap_conj
 #align is_conformal_map_complex_linear_conj isConformalMap_complex_linear_conj
 -/
@@ -92,7 +92,7 @@ variable {f : ℂ → ℂ} {z : ℂ} {g : ℂ →L[ℝ] ℂ}
 #print IsConformalMap.is_complex_or_conj_linear /-
 theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     (∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
-      ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle :=
+      ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCLE :=
   by
   rcases h with ⟨c, hc, li, rfl⟩
   obtain ⟨li, rfl⟩ : ∃ li' : ℂ ≃ₗᵢ[ℝ] ℂ, li'.toLinearIsometry = li
@@ -118,7 +118,7 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
 theorem isConformalMap_iff_is_complex_or_conj_linear :
     IsConformalMap g ↔
       ((∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
-          ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle) ∧
+          ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCLE) ∧
         g ≠ 0 :=
   by
   constructor

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

@@ -3,9 +3,9 @@ Copyright (c) 2021 Yourong Zang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yourong Zang
 -/
-import Mathbin.Analysis.Complex.Isometry
-import Mathbin.Analysis.NormedSpace.ConformalLinearMap
-import Mathbin.Analysis.NormedSpace.FiniteDimension
+import Analysis.Complex.Isometry
+import Analysis.NormedSpace.ConformalLinearMap
+import Analysis.NormedSpace.FiniteDimension
 
 #align_import analysis.complex.conformal from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Yourong Zang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yourong Zang
-
-! This file was ported from Lean 3 source module analysis.complex.conformal
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Complex.Isometry
 import Mathbin.Analysis.NormedSpace.ConformalLinearMap
 import Mathbin.Analysis.NormedSpace.FiniteDimension
 
+#align_import analysis.complex.conformal from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Conformal maps between complex vector spaces
 

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

@@ -45,15 +45,18 @@ open Complex ContinuousLinearMap
 
 open scoped ComplexConjugate
 
+#print isConformalMap_conj /-
 theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
   conjLie.toLinearIsometry.IsConformalMap
 #align is_conformal_map_conj isConformalMap_conj
+-/
 
 section ConformalIntoComplexNormed
 
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace ℂ E] {z : ℂ}
   {g : ℂ →L[ℝ] E} {f : ℂ → E}
 
+#print isConformalMap_complex_linear /-
 theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap (map.restrictScalars ℝ) :=
   by
@@ -72,11 +75,14 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
       LinearIsometry.coe_toContinuousLinearMap, LinearIsometry.coe_mk, Pi.smul_apply,
       smul_inv_smul₀, Ne.def, not_false_iff]
 #align is_conformal_map_complex_linear isConformalMap_complex_linear
+-/
 
+#print isConformalMap_complex_linear_conj /-
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap ((map.restrictScalars ℝ).comp (conjCle : ℂ →L[ℝ] ℂ)) :=
   (isConformalMap_complex_linear nonzero).comp isConformalMap_conj
 #align is_conformal_map_complex_linear_conj isConformalMap_complex_linear_conj
+-/
 
 end ConformalIntoComplexNormed
 
@@ -86,6 +92,7 @@ open ContinuousLinearMap
 
 variable {f : ℂ → ℂ} {z : ℂ} {g : ℂ →L[ℝ] ℂ}
 
+#print IsConformalMap.is_complex_or_conj_linear /-
 theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     (∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
       ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle :=
@@ -106,7 +113,9 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
       LinearIsometryEquiv.trans_apply, ContinuousLinearEquiv.coe_coe, conj_cle_apply,
       conj_lie_apply, conj_conj]
 #align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linear
+-/
 
+#print isConformalMap_iff_is_complex_or_conj_linear /-
 /-- A real continuous linear map on the complex plane is conformal if and only if the map or its
     conjugate is complex linear, and the map is nonvanishing. -/
 theorem isConformalMap_iff_is_complex_or_conj_linear :
@@ -131,6 +140,7 @@ theorem isConformalMap_iff_is_complex_or_conj_linear :
       contrapose! h₂ with w
       simp only [w, restrict_scalars_zero, zero_comp]
 #align is_conformal_map_iff_is_complex_or_conj_linear isConformalMap_iff_is_complex_or_conj_linear
+-/
 
 end ConformalIntoComplexPlane
 

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

@@ -126,7 +126,7 @@ theorem isConformalMap_iff_is_complex_or_conj_linear :
         ext1
         simp only [hmap, coe_comp', ContinuousLinearEquiv.coe_coe, Function.comp_apply,
           conj_cle_apply, starRingEnd_self_apply]
-      rw [minor₁] at h₂⊢
+      rw [minor₁] at h₂ ⊢
       refine' isConformalMap_complex_linear_conj _
       contrapose! h₂ with w
       simp only [w, restrict_scalars_zero, zero_comp]

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

@@ -43,7 +43,7 @@ noncomputable section
 
 open Complex ContinuousLinearMap
 
-open ComplexConjugate
+open scoped ComplexConjugate
 
 theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
   conjLie.toLinearIsometry.IsConformalMap

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

@@ -45,9 +45,6 @@ open Complex ContinuousLinearMap
 
 open ComplexConjugate
 
-/- warning: is_conformal_map_conj -> isConformalMap_conj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_conformal_map_conj isConformalMap_conjₓ'. -/
 theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
   conjLie.toLinearIsometry.IsConformalMap
 #align is_conformal_map_conj isConformalMap_conj
@@ -57,9 +54,6 @@ section ConformalIntoComplexNormed
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace ℂ E] {z : ℂ}
   {g : ℂ →L[ℝ] E} {f : ℂ → E}
 
-/- warning: is_conformal_map_complex_linear -> isConformalMap_complex_linear is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_conformal_map_complex_linear isConformalMap_complex_linearₓ'. -/
 theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap (map.restrictScalars ℝ) :=
   by
@@ -79,9 +73,6 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
       smul_inv_smul₀, Ne.def, not_false_iff]
 #align is_conformal_map_complex_linear isConformalMap_complex_linear
 
-/- warning: is_conformal_map_complex_linear_conj -> isConformalMap_complex_linear_conj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_conformal_map_complex_linear_conj isConformalMap_complex_linear_conjₓ'. -/
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap ((map.restrictScalars ℝ).comp (conjCle : ℂ →L[ℝ] ℂ)) :=
   (isConformalMap_complex_linear nonzero).comp isConformalMap_conj
@@ -95,9 +86,6 @@ open ContinuousLinearMap
 
 variable {f : ℂ → ℂ} {z : ℂ} {g : ℂ →L[ℝ] ℂ}
 
-/- warning: is_conformal_map.is_complex_or_conj_linear -> IsConformalMap.is_complex_or_conj_linear is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linearₓ'. -/
 theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     (∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
       ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle :=
@@ -119,9 +107,6 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
       conj_lie_apply, conj_conj]
 #align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linear
 
-/- warning: is_conformal_map_iff_is_complex_or_conj_linear -> isConformalMap_iff_is_complex_or_conj_linear is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_conformal_map_iff_is_complex_or_conj_linear isConformalMap_iff_is_complex_or_conj_linearₓ'. -/
 /-- A real continuous linear map on the complex plane is conformal if and only if the map or its
     conjugate is complex linear, and the map is nonvanishing. -/
 theorem isConformalMap_iff_is_complex_or_conj_linear :

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

@@ -104,10 +104,7 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
   by
   rcases h with ⟨c, hc, li, rfl⟩
   obtain ⟨li, rfl⟩ : ∃ li' : ℂ ≃ₗᵢ[ℝ] ℂ, li'.toLinearIsometry = li
-  exact
-    ⟨li.to_linear_isometry_equiv rfl, by
-      ext1
-      rfl⟩
+  exact ⟨li.to_linear_isometry_equiv rfl, by ext1; rfl⟩
   rcases linear_isometry_complex li with ⟨a, rfl | rfl⟩
   -- let rot := c • (a : ℂ) • continuous_linear_map.id ℂ ℂ,
   · refine' Or.inl ⟨c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ, _⟩

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yourong Zang
 
 ! This file was ported from Lean 3 source module analysis.complex.conformal
-! leanprover-community/mathlib commit 468b141b14016d54b479eb7a0fff1e360b7e3cf6
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Analysis.NormedSpace.FiniteDimension
 /-!
 # Conformal maps between complex vector spaces
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We prove the sufficient and necessary conditions for a real-linear map between complex vector spaces
 to be conformal.
 
@@ -43,10 +46,7 @@ open Complex ContinuousLinearMap
 open ComplexConjugate
 
 /- warning: is_conformal_map_conj -> isConformalMap_conj is a dubious translation:
-lean 3 declaration is
-  IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (LinearIsometryEquiv.{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)) (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} (LinearIsometryEquiv.{0, 0, 0, 0} Real Real 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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} (LinearIsometryEquiv.{0, 0, 0, 0} 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Real.module)))) Complex.conjLie)
-but is expected to have type
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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 (SeminormedAddCommGroup.toPseudoMetricSpace.{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 (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{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))) (ContinuousLinearEquiv.mk.{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 (SeminormedAddCommGroup.toPseudoMetricSpace.{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 (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{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) (LinearIsometryEquiv.continuous.{0, 0, 0, 0} Real Real Complex Complex 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) (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) (LinearIsometryEquiv.instCoeTCLinearIsometryEquivContinuousLinearEquivToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.proof_1.{0, 0, 0, 0} Real Real Complex Complex 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) (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)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_conformal_map_conj isConformalMap_conjₓ'. -/
 theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
   conjLie.toLinearIsometry.IsConformalMap
@@ -58,10 +58,7 @@ variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace 
   {g : ℂ →L[ℝ] E} {f : ℂ → E}
 
 /- warning: is_conformal_map_complex_linear -> isConformalMap_complex_linear is a dubious translation:
-lean 3 declaration is
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(Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex Complex Complex.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) (ContinuousLinearMap.zero.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) Complex (UniformSpace.toTopologicalSpace.{0} Complex 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(AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real Real.commSemiring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real Real.commSemiring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real Real.commSemiring) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) 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(Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.boundedSMul.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)) (T25Space.t2Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (T3Space.t25Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (separated_t3.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (MetricSpace.to_separated.{u1} E (NormedAddCommGroup.toMetricSpace.{u1} E _inst_1))))) 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)))))) Complex.ring (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (BoundedSMul.continuousSMul.{0, 0} Real Complex Real.pseudoMetricSpace (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))) (MulZeroClass.toHasZero.{0} Real (NonUnitalNonAssocSemiring.toMulZeroClass.{0} Real (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (SubNegMonoid.toAddMonoid.{0} Complex (AddGroup.toSubNegMonoid.{0} Complex 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (NormedSpace.boundedSMul.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) (BoundedSMul.continuousSMul.{0, u1} Complex E (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (MulZeroClass.toHasZero.{0} Complex (NonUnitalNonAssocSemiring.toMulZeroClass.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulZeroClass.toHasSmul.{0, u1} Complex E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex E (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex E (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Complex E (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) (NormedSpace.boundedSMul.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))) map))
-but is expected to have type
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_inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.boundedSMul.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)) (T25Space.t2Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (T3Space.t25Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (separated_t3.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (MetricSpace.to_separated.{u1} E (NormedAddCommGroup.toMetricSpace.{u1} E _inst_1))))) 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)))))) Complex.instRingComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (BoundedSMul.continuousSMul.{0, 0} Real Complex Real.pseudoMetricSpace (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) Real.instZeroReal Complex.instZeroComplex (Algebra.toSMul.{0, 0} Real Complex Real.instCommSemiringReal (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (NormedSpace.boundedSMul.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) (BoundedSMul.continuousSMul.{0, u1} Complex E (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Complex.instZeroComplex (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Complex E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Complex E (MonoidWithZero.toZero.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex E (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Complex E (Ring.toSemiring.{0} Complex Complex.instRingComplex) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) (NormedSpace.boundedSMul.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))) map))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_conformal_map_complex_linear isConformalMap_complex_linearₓ'. -/
 theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap (map.restrictScalars ℝ) :=
@@ -83,10 +80,7 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
 #align is_conformal_map_complex_linear isConformalMap_complex_linear
 
 /- warning: is_conformal_map_complex_linear_conj -> isConformalMap_complex_linear_conj is a dubious translation:
-lean 3 declaration is
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(Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) map (OfNat.ofNat.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (OfNat.mk.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) (ContinuousLinearMap.zero.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))))) -> (IsConformalMap.{0, 0, u1} Real Complex E Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) _inst_2 (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, u1} Real Real Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real 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_inst_1) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (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)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E 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-but is expected to have type
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(DivisionSemiring.toSemiring.{0} Real (Semifield.toDivisionSemiring.{0} Real (Field.toSemifield.{0} Real (NormedField.toField.{0} Real Real.normedField)))) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)))) (ContinuousLinearMap.restrictScalars.{0, 0, u1, 0} Complex Complex E Complex.instRingComplex (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)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex Complex Complex.instNormedFieldComplex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex 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(Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (LinearMap.IsScalarTower.compatibleSMul.{0, u1, 0, 0} Complex E (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.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) Real Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instSMulComplex.{0} Real (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (Real.isScalarTower.{u1, 0} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (BoundedSMul.continuousSMul.{0, u1} Real E Real.pseudoMetricSpace (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.boundedSMul.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)) (T25Space.t2Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (T3Space.t25Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (separated_t3.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (MetricSpace.to_separated.{u1} E (NormedAddCommGroup.toMetricSpace.{u1} E _inst_1))))) 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)))))) Complex.instRingComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (BoundedSMul.continuousSMul.{0, 0} Real Complex Real.pseudoMetricSpace (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) Real.instZeroReal Complex.instZeroComplex (Algebra.toSMul.{0, 0} Real Complex Real.instCommSemiringReal (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (NormedSpace.boundedSMul.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) (BoundedSMul.continuousSMul.{0, u1} Complex E (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Complex.instZeroComplex (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Complex E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Complex E (MonoidWithZero.toZero.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex E (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Complex E (Ring.toSemiring.{0} Complex Complex.instRingComplex) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) (NormedSpace.boundedSMul.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))) map) (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)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_conformal_map_complex_linear_conj isConformalMap_complex_linear_conjₓ'. -/
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap ((map.restrictScalars ℝ).comp (conjCle : ℂ →L[ℝ] ℂ)) :=
@@ -102,10 +96,7 @@ open ContinuousLinearMap
 variable {f : ℂ → ℂ} {z : ℂ} {g : ℂ →L[ℝ] ℂ}
 
 /- warning: is_conformal_map.is_complex_or_conj_linear -> IsConformalMap.is_complex_or_conj_linear is a dubious translation:
-lean 3 declaration is
-  forall {g : 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)}, (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) g) -> (Or (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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 (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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g ((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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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)))))
-but is expected to have type
-  forall {g : 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)))}, (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) g) -> (Or (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.instRingReal) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) 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)))))) (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 (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)))))) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.instRingComplex (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)))))) (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)))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (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)))))) (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)))))) Real Real.instRingReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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))) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} 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))))))) Real Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instSMulComplex.{0} Real (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.instRingReal) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) 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)))))) (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 (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)))))) (AddCommGroup.toAddCommMonoid.{0} Complex 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Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex 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(NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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)))))) (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 (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)))))) 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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))) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (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 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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))) Complex.conjCle)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linearₓ'. -/
 theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     (∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
@@ -132,10 +123,7 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
 #align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linear
 
 /- warning: is_conformal_map_iff_is_complex_or_conj_linear -> isConformalMap_iff_is_complex_or_conj_linear is a dubious translation:
-lean 3 declaration is
-  forall {g : 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)}, Iff (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) g) (And (Or (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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 (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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g ((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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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))))) (Ne.{1} (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)) g (OfNat.ofNat.{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)) 0 (OfNat.mk.{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)) 0 (Zero.zero.{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.zero.{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)))))))
-but is expected to have type
-  forall {g : 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)))}, Iff (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex 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(NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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 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(NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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)))))) (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 (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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.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))) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (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 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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_conformal_map_iff_is_complex_or_conj_linear isConformalMap_iff_is_complex_or_conj_linearₓ'. -/
 /-- A real continuous linear map on the complex plane is conformal if and only if the map or its
     conjugate is complex linear, and the map is nonvanishing. -/

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

@@ -42,6 +42,12 @@ open Complex ContinuousLinearMap
 
 open ComplexConjugate
 
+/- warning: is_conformal_map_conj -> isConformalMap_conj is a dubious translation:
+lean 3 declaration is
+  IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (LinearIsometryEquiv.{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)) (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} (LinearIsometryEquiv.{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)) (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} (LinearIsometryEquiv.{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)) (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)) (LinearIsometryEquiv.ContinuousLinearMap.hasCoeT.{0, 0, 0, 0} Real Real Complex Complex 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) (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)
+but is expected to have type
+  IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (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 (SeminormedAddCommGroup.toPseudoMetricSpace.{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 (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{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))) (ContinuousLinearEquiv.mk.{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 (SeminormedAddCommGroup.toPseudoMetricSpace.{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 (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{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) (LinearIsometryEquiv.continuous.{0, 0, 0, 0} Real Real Complex Complex 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) (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) (LinearIsometryEquiv.instCoeTCLinearIsometryEquivContinuousLinearEquivToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.proof_1.{0, 0, 0, 0} Real Real Complex Complex 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) (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)))
+Case conversion may be inaccurate. Consider using '#align is_conformal_map_conj isConformalMap_conjₓ'. -/
 theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
   conjLie.toLinearIsometry.IsConformalMap
 #align is_conformal_map_conj isConformalMap_conj
@@ -51,6 +57,12 @@ section ConformalIntoComplexNormed
 variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace ℂ E] {z : ℂ}
   {g : ℂ →L[ℝ] E} {f : ℂ → E}
 
+/- warning: is_conformal_map_complex_linear -> isConformalMap_complex_linear is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : NormedSpace.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] {map : ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)}, (Ne.{succ u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) map (OfNat.ofNat.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (OfNat.mk.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (Zero.zero.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) (ContinuousLinearMap.zero.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex 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(AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real Real.commSemiring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real Real.commSemiring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real Real.commSemiring) (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) 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Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (Real.isScalarTower.{u1, 0} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (BoundedSMul.continuousSMul.{0, u1} Real E Real.pseudoMetricSpace (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (MulZeroClass.toHasZero.{0} Real (NonUnitalNonAssocSemiring.toMulZeroClass.{0} Real (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulZeroClass.toHasSmul.{0, u1} Real E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.boundedSMul.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)) (T25Space.t2Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (T3Space.t25Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (separated_t3.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (MetricSpace.to_separated.{u1} E (NormedAddCommGroup.toMetricSpace.{u1} E _inst_1))))) 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)))))) Complex.ring (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (BoundedSMul.continuousSMul.{0, 0} Real Complex Real.pseudoMetricSpace (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))) (MulZeroClass.toHasZero.{0} Real (NonUnitalNonAssocSemiring.toMulZeroClass.{0} Real (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (SubNegMonoid.toAddMonoid.{0} Complex (AddGroup.toSubNegMonoid.{0} Complex 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(NormedField.toNormedCommRing.{0} Complex Complex.normedField)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (MulZeroClass.toHasZero.{0} Complex (NonUnitalNonAssocSemiring.toMulZeroClass.{0} Complex (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} Complex (NonAssocRing.toNonUnitalNonAssocRing.{0} Complex (Ring.toNonAssocRing.{0} Complex (NormedRing.toRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (SeminormedAddGroup.toAddGroup.{u1} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulZeroClass.toHasSmul.{0, u1} Complex E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (SMulWithZero.toSmulZeroClass.{0, u1} Complex E (MulZeroClass.toHasZero.{0} Complex (MulZeroOneClass.toMulZeroClass.{0} Complex (MonoidWithZero.toMulZeroOneClass.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex E (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring)) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Complex E (Ring.toSemiring.{0} Complex Complex.ring) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) (NormedSpace.boundedSMul.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))) map))
+but is expected to have type
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : NormedSpace.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] {map : ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)}, (Ne.{succ u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) map (OfNat.ofNat.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (Zero.toOfNat0.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) (ContinuousLinearMap.zero.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) -> (IsConformalMap.{0, 0, u1} Real Complex E Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) _inst_2 (ContinuousLinearMap.restrictScalars.{0, 0, u1, 0} Complex Complex E Complex.instRingComplex (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)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex Complex Complex.instNormedFieldComplex (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))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (LinearMap.IsScalarTower.compatibleSMul.{0, u1, 0, 0} Complex E (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.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) Real Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instSMulComplex.{0} Real (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{0} Complex (SeminormedAddCommGroup.toAddCommGroup.{0} Complex (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex 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Complex.instNormedFieldComplex))))))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (Real.isScalarTower.{u1, 0} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (BoundedSMul.continuousSMul.{0, u1} Real E Real.pseudoMetricSpace (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.boundedSMul.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)) (T25Space.t2Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (T3Space.t25Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (separated_t3.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (MetricSpace.to_separated.{u1} E (NormedAddCommGroup.toMetricSpace.{u1} E _inst_1))))) 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)))))) Complex.instRingComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (BoundedSMul.continuousSMul.{0, 0} Real Complex Real.pseudoMetricSpace (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) Real.instZeroReal Complex.instZeroComplex (Algebra.toSMul.{0, 0} Real Complex Real.instCommSemiringReal (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (NormedSpace.boundedSMul.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) (BoundedSMul.continuousSMul.{0, u1} Complex E (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Complex.instZeroComplex (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Complex E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Complex E (MonoidWithZero.toZero.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex E (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Complex E (Ring.toSemiring.{0} Complex Complex.instRingComplex) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) (NormedSpace.boundedSMul.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))) map))
+Case conversion may be inaccurate. Consider using '#align is_conformal_map_complex_linear isConformalMap_complex_linearₓ'. -/
 theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap (map.restrictScalars ℝ) :=
   by
@@ -70,6 +82,12 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
       smul_inv_smul₀, Ne.def, not_false_iff]
 #align is_conformal_map_complex_linear isConformalMap_complex_linear
 
+/- warning: is_conformal_map_complex_linear_conj -> isConformalMap_complex_linear_conj is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : NormedSpace.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] {map : ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)}, (Ne.{succ u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) map (OfNat.ofNat.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (OfNat.mk.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (Zero.zero.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) (ContinuousLinearMap.zero.{0, 0, 0, u1} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))))) -> (IsConformalMap.{0, 0, u1} Real Complex E Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) _inst_2 (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, u1} Real Real Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{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 (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) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (RingHomCompTriple.right_ids.{0, 0} Real Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (ContinuousLinearMap.restrictScalars.{0, 0, u1, 0} Complex Complex E Complex.ring Complex.addCommGroup (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, u1} Complex E Complex.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (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)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (LinearMap.IsScalarTower.compatibleSMul.{0, u1, 0, 0} Complex E (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (NonUnitalNonAssocSemiring.toAddCommMonoid.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))))))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real 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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 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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)))
+but is expected to have type
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : NormedSpace.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] {map : ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)}, (Ne.{succ u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) map (OfNat.ofNat.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) 0 (Zero.toOfNat0.{u1} (ContinuousLinearMap.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)) (ContinuousLinearMap.zero.{0, 0, 0, u1} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) -> (IsConformalMap.{0, 0, u1} Real Complex E Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) _inst_2 (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, u1} Real Real Real (DivisionSemiring.toSemiring.{0} Real (Semifield.toDivisionSemiring.{0} Real (Field.toSemifield.{0} Real (NormedField.toField.{0} Real Real.normedField)))) (Ring.toSemiring.{0} Real Real.instRingReal) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (DivisionSemiring.toSemiring.{0} Real (Semifield.toDivisionSemiring.{0} Real (Field.toSemifield.{0} Real (NormedField.toField.{0} Real Real.normedField)))))) Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedAddCommGroup.toPseudoMetricSpace.{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 (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)))))) (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))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (RingHomCompTriple.ids.{0, 0} Real Real (DivisionSemiring.toSemiring.{0} Real (Semifield.toDivisionSemiring.{0} Real (Field.toSemifield.{0} Real (NormedField.toField.{0} Real Real.normedField)))) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)))) (ContinuousLinearMap.restrictScalars.{0, 0, u1, 0} Complex Complex E Complex.instRingComplex (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)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (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)))))) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) Real Real.instRingReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal) (NormedSpace.toModule.{0, 0} Real Real Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Real (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Real (NormedRing.toNonUnitalNormedRing.{0} Real (NormedCommRing.toNormedRing.{0} Real Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (LinearMap.IsScalarTower.compatibleSMul.{0, u1, 0, 0} Complex E (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.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) Real Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instSMulComplex.{0} Real (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (Real.isScalarTower.{u1, 0} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (BoundedSMul.continuousSMul.{0, u1} Real E Real.pseudoMetricSpace (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2))))) (NormedSpace.boundedSMul.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)) (T25Space.t2Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (T3Space.t25Space.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) (separated_t3.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (MetricSpace.to_separated.{u1} E (NormedAddCommGroup.toMetricSpace.{u1} E _inst_1))))) 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)))))) Complex.instRingComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3) (BoundedSMul.continuousSMul.{0, 0} Real Complex Real.pseudoMetricSpace (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) Real.instZeroReal Complex.instZeroComplex (Algebra.toSMul.{0, 0} Real Complex Real.instCommSemiringReal (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (NormedSpace.boundedSMul.{0, 0} Real Complex Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{0} Complex (NonUnitalNormedRing.toNonUnitalSeminormedRing.{0} Complex (NormedRing.toNonUnitalNormedRing.{0} Complex (NormedCommRing.toNormedRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) (BoundedSMul.continuousSMul.{0, u1} Complex E (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) Complex.instZeroComplex (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)))))) (SMulZeroClass.toSMul.{0, u1} Complex E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (SMulWithZero.toSMulZeroClass.{0, u1} Complex E (MonoidWithZero.toZero.{0} Complex (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Complex E (Semiring.toMonoidWithZero.{0} Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))))))) (Module.toMulActionWithZero.{0, u1} Complex E (Ring.toSemiring.{0} Complex Complex.instRingComplex) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (NormedSpace.toModule.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3))))) (NormedSpace.boundedSMul.{0, u1} Complex E Complex.instNormedFieldComplex (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_3)))) map) (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)))
+Case conversion may be inaccurate. Consider using '#align is_conformal_map_complex_linear_conj isConformalMap_complex_linear_conjₓ'. -/
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap ((map.restrictScalars ℝ).comp (conjCle : ℂ →L[ℝ] ℂ)) :=
   (isConformalMap_complex_linear nonzero).comp isConformalMap_conj
@@ -83,6 +101,12 @@ open ContinuousLinearMap
 
 variable {f : ℂ → ℂ} {z : ℂ} {g : ℂ →L[ℝ] ℂ}
 
+/- warning: is_conformal_map.is_complex_or_conj_linear -> IsConformalMap.is_complex_or_conj_linear is a dubious translation:
+lean 3 declaration is
+  forall {g : 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)}, (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) g) -> (Or (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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 (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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g ((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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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)))))
+but is expected to have type
+  forall {g : 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)))}, (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) g) -> (Or (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.instRingReal) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) 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)))))) (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 (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)))))) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.instRingComplex (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)))))) (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)))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (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)))))) (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)))))) Real Real.instRingReal (Complex.instModuleComplexToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRingInstRingComplex.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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))) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} 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))))))) Real Complex (Ring.toSemiring.{0} Complex Complex.instRingComplex) (Complex.instSMulComplex.{0} Real (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (IsROrC.toNormedAlgebra.{0} Real Real.isROrC)))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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)))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.instRingReal) (Ring.toSemiring.{0} Real Real.instRingReal) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) 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)))))) (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 (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)))))) (AddCommGroup.toAddCommMonoid.{0} Complex 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(NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{0} Complex 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Real.normedCommRing)))) (NormedField.toNormedSpace.{0} Real Real.normedField))))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex))) (SMulZeroClass.toSMul.{0, 0} Real Complex (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (SMulWithZero.toSMulZeroClass.{0, 0} Real Complex (MonoidWithZero.toZero.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) (NegZeroClass.toZero.{0} Complex (SubNegZeroMonoid.toNegZeroClass.{0} Complex (SubtractionMonoid.toSubNegZeroMonoid.{0} Complex (SubtractionCommMonoid.toSubtractionMonoid.{0} Complex (AddCommGroup.toDivisionAddCommMonoid.{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))))))))))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.instRingReal) (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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)))))) (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 (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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.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))) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (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)))))
+Case conversion may be inaccurate. Consider using '#align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linearₓ'. -/
 theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     (∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
       ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle :=
@@ -107,6 +131,12 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
       conj_lie_apply, conj_conj]
 #align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linear
 
+/- warning: is_conformal_map_iff_is_complex_or_conj_linear -> isConformalMap_iff_is_complex_or_conj_linear is a dubious translation:
+lean 3 declaration is
+  forall {g : 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)}, Iff (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.complexToReal.{0} Complex Complex.normedAddCommGroup (NormedField.toNormedSpace.{0} Complex Complex.normedField)) g) (And (Or (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (fun (map : ContinuousLinearMap.{0, 0, 0, 0} Complex Complex (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex Complex.ring))) 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) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) => Eq.{1} (ContinuousLinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real Real.ring) (Ring.toSemiring.{0} Real Real.ring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real Real.ring))) 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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module)) (ContinuousLinearMap.restrictScalars.{0, 0, 0, 0} Complex Complex Complex Complex.ring Complex.addCommGroup Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (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)))))) (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)))))) Real Real.ring (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module) (LinearMap.IsScalarTower.compatibleSMul.{0, 0, 0, 0} Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) Real Complex (Ring.toSemiring.{0} Complex Complex.ring) (Complex.hasSmul.{0} Real (Mul.toSMul.{0} Real Real.hasMul)) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField))) (SMulZeroClass.toHasSmul.{0, 0} Real Complex (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (SMulWithZero.toSmulZeroClass.{0, 0} Real Complex (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring))))) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (MulActionWithZero.toSMulWithZero.{0, 0} Real Complex (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real Real.ring)) (AddZeroClass.toHasZero.{0} Complex (AddMonoid.toAddZeroClass.{0} Complex (AddCommMonoid.toAddMonoid.{0} Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup)))) (Module.toMulActionWithZero.{0, 0} Real Complex (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Complex.module.{0} Real (Ring.toSemiring.{0} Real Real.ring) Real.module))))) (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)) (Module.real_complex_tower.{0} Complex Complex.addCommGroup (NormedSpace.toModule.{0, 0} Complex 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))))) (NormedField.toNormedSpace.{0} Complex Complex.normedField)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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 (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 (Ring.toSemiring.{0} Real Real.ring) Real.module) (Complex.module.{0} Real Real.semiring Real.module) (Complex.module.{0} Real Real.semiring Real.module) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g ((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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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 (Ring.toSemiring.{0} Real Real.ring) 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))))) (Ne.{1} (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)) g (OfNat.ofNat.{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)) 0 (OfNat.mk.{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)) 0 (Zero.zero.{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.zero.{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)))))))
+but is expected to have type
+  forall {g : 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)))}, Iff (IsConformalMap.{0, 0, 0} Real Complex Complex Real.normedField (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))))) (NormedSpace.complexToReal.{0} Complex Complex.instNormedAddCommGroupComplex (NormedField.toNormedSpace.{0} Complex 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(NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) g)) (Exists.{1} (ContinuousLinearMap.{0, 0, 0, 0} Complex Complex Complex.instSemiringComplex Complex.instSemiringComplex (RingHom.id.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) 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 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(NormedField.toNormedSpace.{0} Complex Complex.instNormedFieldComplex)))) map) (ContinuousLinearMap.comp.{0, 0, 0, 0, 0, 0} Real Real Real Real.semiring Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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)))))) (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 (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 (Ring.toSemiring.{0} Real Real.instRingReal) (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.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))) (RingHomCompTriple.ids.{0, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (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))))) (Ne.{1} (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)))) g (OfNat.ofNat.{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 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(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.zero.{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 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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))))))))
+Case conversion may be inaccurate. Consider using '#align is_conformal_map_iff_is_complex_or_conj_linear isConformalMap_iff_is_complex_or_conj_linearₓ'. -/
 /-- A real continuous linear map on the complex plane is conformal if and only if the map or its
     conjugate is complex linear, and the map is nonvanishing. -/
 theorem isConformalMap_iff_is_complex_or_conj_linear :

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

In all cases, the original proof works now. I presume this is due to simp changes in Lean 4.7, but haven't verified.

@@ -58,10 +58,8 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
     simp only [map.coe_coe, map.map_smul, norm_smul, norm_inv, norm_norm]
     field_simp only [one_mul]
   · ext1
-    -- porting note (#10745): was simp
-    rw [coe_restrictScalars', coe_smul', LinearIsometry.coe_toContinuousLinearMap,
-      LinearIsometry.coe_mk, Pi.smul_apply, LinearMap.smul_apply, LinearMap.coe_restrictScalars,
-      coe_coe, smul_inv_smul₀ minor₁]
+    -- porting note (#10745): was `simp`; explicitly supplied simp lemma
+    simp [smul_inv_smul₀ minor₁]
 #align is_conformal_map_complex_linear isConformalMap_complex_linear
 
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
@@ -87,17 +85,10 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
   -- let rot := c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ,
   · refine' Or.inl ⟨c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ, _⟩
     ext1
-    -- porting note (#10745): was simp
-    rw [coe_restrictScalars', smul_apply, smul_apply, smul_apply,
-      LinearIsometry.coe_toContinuousLinearMap,
-      LinearIsometryEquiv.coe_toLinearIsometry, rotation_apply, id_apply, smul_eq_mul]
+    simp
   · refine' Or.inr ⟨c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ, _⟩
     ext1
-    -- porting note (#10745): was simp
-    rw [coe_restrictScalars', smul_apply, smul_apply, comp_apply, smul_apply,
-      LinearIsometry.coe_toContinuousLinearMap, LinearIsometryEquiv.coe_toLinearIsometry,
-      LinearIsometryEquiv.trans_apply, rotation_apply, id_apply, smul_eq_mul,
-      ContinuousLinearEquiv.coe_coe, conjCLE_apply, conjLIE_apply, conj_conj]
+    simp
 #align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linear
 
 /-- A real continuous linear map on the complex plane is conformal if and only if the map or its

@@ -48,7 +48,7 @@ variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace ℂ
 
 theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
     IsConformalMap (map.restrictScalars ℝ) := by
-  have minor₁ : ‖map 1‖ ≠ 0 := by simpa only [ext_ring_iff, Ne.def, norm_eq_zero] using nonzero
+  have minor₁ : ‖map 1‖ ≠ 0 := by simpa only [ext_ring_iff, Ne, norm_eq_zero] using nonzero
   refine' ⟨‖map 1‖, minor₁, ⟨‖map 1‖⁻¹ • ((map : ℂ →ₗ[ℂ] E) : ℂ →ₗ[ℝ] E), _⟩, _⟩
   · intro x
     simp only [LinearMap.smul_apply]

Classifies by adding issue number (#10745) to porting notes claiming was simp.

@@ -58,7 +58,7 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
     simp only [map.coe_coe, map.map_smul, norm_smul, norm_inv, norm_norm]
     field_simp only [one_mul]
   · ext1
-    -- Porting note: was simp
+    -- porting note (#10745): was simp
     rw [coe_restrictScalars', coe_smul', LinearIsometry.coe_toContinuousLinearMap,
       LinearIsometry.coe_mk, Pi.smul_apply, LinearMap.smul_apply, LinearMap.coe_restrictScalars,
       coe_coe, smul_inv_smul₀ minor₁]
@@ -87,13 +87,13 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
   -- let rot := c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ,
   · refine' Or.inl ⟨c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ, _⟩
     ext1
-    -- Porting note: was simp
+    -- porting note (#10745): was simp
     rw [coe_restrictScalars', smul_apply, smul_apply, smul_apply,
       LinearIsometry.coe_toContinuousLinearMap,
       LinearIsometryEquiv.coe_toLinearIsometry, rotation_apply, id_apply, smul_eq_mul]
   · refine' Or.inr ⟨c • (a : ℂ) • ContinuousLinearMap.id ℂ ℂ, _⟩
     ext1
-    -- Porting note: was simp
+    -- porting note (#10745): was simp
     rw [coe_restrictScalars', smul_apply, smul_apply, comp_apply, smul_apply,
       LinearIsometry.coe_toContinuousLinearMap, LinearIsometryEquiv.coe_toLinearIsometry,
       LinearIsometryEquiv.trans_apply, rotation_apply, id_apply, smul_eq_mul,

Rename

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

and related theorems.

@@ -37,8 +37,8 @@ noncomputable section
 
 open Complex ContinuousLinearMap ComplexConjugate
 
-theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
-  conjLie.toLinearIsometry.isConformalMap
+theorem isConformalMap_conj : IsConformalMap (conjLIE : ℂ →L[ℝ] ℂ) :=
+  conjLIE.toLinearIsometry.isConformalMap
 #align is_conformal_map_conj isConformalMap_conj
 
 section ConformalIntoComplexNormed
@@ -65,7 +65,7 @@ theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠
 #align is_conformal_map_complex_linear isConformalMap_complex_linear
 
 theorem isConformalMap_complex_linear_conj {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :
-    IsConformalMap ((map.restrictScalars ℝ).comp (conjCle : ℂ →L[ℝ] ℂ)) :=
+    IsConformalMap ((map.restrictScalars ℝ).comp (conjCLE : ℂ →L[ℝ] ℂ)) :=
   (isConformalMap_complex_linear nonzero).comp isConformalMap_conj
 #align is_conformal_map_complex_linear_conj isConformalMap_complex_linear_conj
 
@@ -79,7 +79,7 @@ variable {f : ℂ → ℂ} {z : ℂ} {g : ℂ →L[ℝ] ℂ}
 
 theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     (∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
-      ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle := by
+      ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCLE := by
   rcases h with ⟨c, -, li, rfl⟩
   obtain ⟨li, rfl⟩ : ∃ li' : ℂ ≃ₗᵢ[ℝ] ℂ, li'.toLinearIsometry = li :=
     ⟨li.toLinearIsometryEquiv rfl, by ext1; rfl⟩
@@ -97,7 +97,7 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
     rw [coe_restrictScalars', smul_apply, smul_apply, comp_apply, smul_apply,
       LinearIsometry.coe_toContinuousLinearMap, LinearIsometryEquiv.coe_toLinearIsometry,
       LinearIsometryEquiv.trans_apply, rotation_apply, id_apply, smul_eq_mul,
-      ContinuousLinearEquiv.coe_coe, conjCle_apply, conjLie_apply, conj_conj]
+      ContinuousLinearEquiv.coe_coe, conjCLE_apply, conjLIE_apply, conj_conj]
 #align is_conformal_map.is_complex_or_conj_linear IsConformalMap.is_complex_or_conj_linear
 
 /-- A real continuous linear map on the complex plane is conformal if and only if the map or its
@@ -105,7 +105,7 @@ theorem IsConformalMap.is_complex_or_conj_linear (h : IsConformalMap g) :
 theorem isConformalMap_iff_is_complex_or_conj_linear :
     IsConformalMap g ↔
       ((∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g) ∨
-          ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCle) ∧
+          ∃ map : ℂ →L[ℂ] ℂ, map.restrictScalars ℝ = g ∘L ↑conjCLE) ∧
         g ≠ 0 := by
   constructor
   · exact fun h => ⟨h.is_complex_or_conj_linear, h.ne_zero⟩
@@ -113,10 +113,10 @@ theorem isConformalMap_iff_is_complex_or_conj_linear :
     · refine' isConformalMap_complex_linear _
       contrapose! h₂ with w
       simp only [w, restrictScalars_zero]
-    · have minor₁ : g = map.restrictScalars ℝ ∘L ↑conjCle := by
+    · have minor₁ : g = map.restrictScalars ℝ ∘L ↑conjCLE := by
         ext1
         simp only [hmap, coe_comp', ContinuousLinearEquiv.coe_coe, Function.comp_apply,
-          conjCle_apply, starRingEnd_self_apply]
+          conjCLE_apply, starRingEnd_self_apply]
       rw [minor₁] at h₂ ⊢
       refine' isConformalMap_complex_linear_conj _
       contrapose! h₂ with w

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

This has nice performance benefits.

@@ -43,7 +43,7 @@ theorem isConformalMap_conj : IsConformalMap (conjLie : ℂ →L[ℝ] ℂ) :=
 
 section ConformalIntoComplexNormed
 
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace ℂ E] {z : ℂ}
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] [NormedSpace ℂ E] {z : ℂ}
   {g : ℂ →L[ℝ] E} {f : ℂ → E}
 
 theorem isConformalMap_complex_linear {map : ℂ →L[ℂ] E} (nonzero : map ≠ 0) :

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Yourong Zang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yourong Zang
-
-! This file was ported from Lean 3 source module analysis.complex.conformal
-! 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.Isometry
 import Mathlib.Analysis.NormedSpace.ConformalLinearMap
 import Mathlib.Analysis.NormedSpace.FiniteDimension
 
+#align_import analysis.complex.conformal from "leanprover-community/mathlib"@"468b141b14016d54b479eb7a0fff1e360b7e3cf6"
+
 /-!
 # Conformal maps between complex vector spaces
 

Changes are of the form

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

@@ -120,7 +120,7 @@ theorem isConformalMap_iff_is_complex_or_conj_linear :
         ext1
         simp only [hmap, coe_comp', ContinuousLinearEquiv.coe_coe, Function.comp_apply,
           conjCle_apply, starRingEnd_self_apply]
-      rw [minor₁] at h₂⊢
+      rw [minor₁] at h₂ ⊢
       refine' isConformalMap_complex_linear_conj _
       contrapose! h₂ with w
       simp only [w, restrictScalars_zero, zero_comp]