topology.instances.complex ⟷ Mathlib.Topology.Instances.Complex

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

@@ -43,7 +43,7 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
     rw [← IsClosed.closure_eq hc]
     apply closure_mono
     rintro _ ⟨_, rfl⟩
-    simp only [Function.comp_apply, of_real_rat_cast, SetLike.mem_coe, SubfieldClass.coe_rat_mem]
+    simp only [Function.comp_apply, of_real_rat_cast, SetLike.mem_coe, SubfieldClass.ratCast_mem]
   nth_rw 2 [range_comp]
   refine' subset_trans _ (image_closure_subset_closure_image continuous_of_real)
   rw [DenseRange.closure_range rat.dense_embedding_coe_real.dense]

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

@@ -30,7 +30,7 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
   by
   suffices range (coe : ℝ → ℂ) ⊆ K
     by
-    rw [range_subset_iff, ← coe_algebra_map] at this 
+    rw [range_subset_iff, ← coe_algebra_map] at this
     have :=
       (Subalgebra.isSimpleOrder_of_finrank finrank_real_complex).eq_bot_or_eq_top
         (Subfield.toIntermediateField K this).toSubalgebra
@@ -80,7 +80,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       rsuffices ⟨r, hr⟩ : ∃ r : ℝ, of_real.range_restrict r = j (ι x)
       · have :=
           RingHom.congr_fun (ring_hom_eq_of_real_of_continuous (by continuity : Continuous ψ₁)) r
-        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this 
+        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
         convert this using 1
         · exact (DenseInducing.extend_eq di hc.continuous _).symm
         · rw [← of_real.coe_range_restrict, hr]; rfl

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

@@ -51,8 +51,8 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 -/
 
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:307:22: continuitity! not supported at the moment -/
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:307:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:303:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:303:22: continuitity! not supported at the moment -/
 #print Complex.uniformContinuous_ringHom_eq_id_or_conj /-
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform
 continuous, then `ψ` is either the inclusion map or the composition of the inclusion map with the

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

@@ -3,9 +3,9 @@ Copyright (c) 2022 Xavier Roblot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Xavier Roblot
 -/
-import Mathbin.Analysis.Complex.Basic
-import Mathbin.FieldTheory.IntermediateField
-import Mathbin.Topology.Algebra.UniformRing
+import Analysis.Complex.Basic
+import FieldTheory.IntermediateField
+import Topology.Algebra.UniformRing
 
 #align_import topology.instances.complex from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 
@@ -51,8 +51,8 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 -/
 
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:305:22: continuitity! not supported at the moment -/
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:305:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:307:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:307:22: continuitity! not supported at the moment -/
 #print Complex.uniformContinuous_ringHom_eq_id_or_conj /-
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform
 continuous, then `ψ` is either the inclusion map or the composition of the inclusion map with the

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

@@ -105,7 +105,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       DenseRange.comp (Function.Surjective.denseRange _)
         (DenseEmbedding.subtype denseEmbedding_id (K : Set ℂ)).dense (by continuity : Continuous j)
     rintro ⟨y, hy⟩
-    use ⟨y, by convert hy; simpa only [id.def, Set.image_id']⟩
+    use⟨y, by convert hy; simpa only [id.def, Set.image_id']⟩
     simp only [Subtype.mk_eq_mk, Subtype.coe_mk]
 #align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conj
 -/

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Xavier Roblot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Xavier Roblot
-
-! This file was ported from Lean 3 source module topology.instances.complex
-! 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.Basic
 import Mathbin.FieldTheory.IntermediateField
 import Mathbin.Topology.Algebra.UniformRing
 
+#align_import topology.instances.complex from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Some results about the topology of ℂ
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

@@ -54,8 +54,8 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 -/
 
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:305:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:305:22: continuitity! not supported at the moment -/
 #print Complex.uniformContinuous_ringHom_eq_id_or_conj /-
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform
 continuous, then `ψ` is either the inclusion map or the composition of the inclusion map with the

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

@@ -26,6 +26,7 @@ open Complex Set
 
 open scoped ComplexConjugate
 
+#print Complex.subfield_eq_of_closed /-
 /-- The only closed subfields of `ℂ` are `ℝ` and `ℂ`. -/
 theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set ℂ)) :
     K = ofReal.fieldRange ∨ K = ⊤ :=
@@ -51,9 +52,11 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
   rw [DenseRange.closure_range rat.dense_embedding_coe_real.dense]
   simp only [image_univ]
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
+-/
 
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
+#print Complex.uniformContinuous_ringHom_eq_id_or_conj /-
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform
 continuous, then `ψ` is either the inclusion map or the composition of the inclusion map with the
 complex conjugation. -/
@@ -108,6 +111,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
     use ⟨y, by convert hy; simpa only [id.def, Set.image_id']⟩
     simp only [Subtype.mk_eq_mk, Subtype.coe_mk]
 #align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conj
+-/
 
 end ComplexSubfield
 

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

@@ -99,9 +99,10 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       · right; ext1 z
         convert RingHom.congr_fun h z using 1
         exact (DenseInducing.extend_eq di hc.continuous z).symm
-  · let j : { x // x ∈ closure (id '' { x | (K : Set ℂ) x }) } → (K.topological_closure : Set ℂ) :=
+  · let j : { x // x ∈ closure (id '' {x | (K : Set ℂ) x}) } → (K.topological_closure : Set ℂ) :=
       fun x => ⟨x, by convert x.prop; simpa only [id.def, Set.image_id']⟩
-    convert DenseRange.comp (Function.Surjective.denseRange _)
+    convert
+      DenseRange.comp (Function.Surjective.denseRange _)
         (DenseEmbedding.subtype denseEmbedding_id (K : Set ℂ)).dense (by continuity : Continuous j)
     rintro ⟨y, hy⟩
     use ⟨y, by convert hy; simpa only [id.def, Set.image_id']⟩

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

@@ -32,11 +32,11 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
   by
   suffices range (coe : ℝ → ℂ) ⊆ K
     by
-    rw [range_subset_iff, ← coe_algebra_map] at this
+    rw [range_subset_iff, ← coe_algebra_map] at this 
     have :=
       (Subalgebra.isSimpleOrder_of_finrank finrank_real_complex).eq_bot_or_eq_top
         (Subfield.toIntermediateField K this).toSubalgebra
-    simp_rw [← SetLike.coe_set_eq] at this⊢
+    simp_rw [← SetLike.coe_set_eq] at this ⊢
     convert this using 2
     simpa only [RingHom.coe_fieldRange, Algebra.coe_bot, coe_algebra_map]
   suffices range (coe : ℝ → ℂ) ⊆ closure (Set.range ((coe : ℝ → ℂ) ∘ (coe : ℚ → ℝ)))
@@ -65,7 +65,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
     Subring.topologicalRing K.topological_closure.to_subring
   set ι : K → K.topological_closure := Subfield.inclusion K.le_topological_closure
   have ui : UniformInducing ι :=
-    ⟨by erw [uniformity_subtype, uniformity_subtype, Filter.comap_comap]; congr ⟩
+    ⟨by erw [uniformity_subtype, uniformity_subtype, Filter.comap_comap]; congr⟩
   let di := ui.dense_inducing _
   · -- extψ : closure(K) →+* ℂ is the extension of ψ : K →+* ℂ
     let extψ := DenseInducing.extendRingHom ui di.dense hc
@@ -80,7 +80,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       rsuffices ⟨r, hr⟩ : ∃ r : ℝ, of_real.range_restrict r = j (ι x)
       · have :=
           RingHom.congr_fun (ring_hom_eq_of_real_of_continuous (by continuity : Continuous ψ₁)) r
-        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
+        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this 
         convert this using 1
         · exact (DenseInducing.extend_eq di hc.continuous _).symm
         · rw [← of_real.coe_range_restrict, hr]; rfl
@@ -100,11 +100,11 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
         convert RingHom.congr_fun h z using 1
         exact (DenseInducing.extend_eq di hc.continuous z).symm
   · let j : { x // x ∈ closure (id '' { x | (K : Set ℂ) x }) } → (K.topological_closure : Set ℂ) :=
-      fun x => ⟨x, by convert x.prop; simpa only [id.def, Set.image_id'] ⟩
+      fun x => ⟨x, by convert x.prop; simpa only [id.def, Set.image_id']⟩
     convert DenseRange.comp (Function.Surjective.denseRange _)
         (DenseEmbedding.subtype denseEmbedding_id (K : Set ℂ)).dense (by continuity : Continuous j)
     rintro ⟨y, hy⟩
-    use ⟨y, by convert hy; simpa only [id.def, Set.image_id'] ⟩
+    use ⟨y, by convert hy; simpa only [id.def, Set.image_id']⟩
     simp only [Subtype.mk_eq_mk, Subtype.coe_mk]
 #align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conj
 

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

@@ -24,7 +24,7 @@ section ComplexSubfield
 
 open Complex Set
 
-open ComplexConjugate
+open scoped ComplexConjugate
 
 /-- The only closed subfields of `ℂ` are `ℝ` and `ℂ`. -/
 theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set ℂ)) :

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

@@ -26,12 +26,6 @@ open Complex Set
 
 open ComplexConjugate
 
-/- warning: complex.subfield_eq_of_closed -> Complex.subfield_eq_of_closed is a dubious translation:
-lean 3 declaration is
-  forall {K : Subfield.{0} Complex Complex.field}, (IsClosed.{0} Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (Subfield.{0} Complex Complex.field) (Set.{0} Complex) (HasLiftT.mk.{1, 1} (Subfield.{0} Complex Complex.field) (Set.{0} Complex) (CoeTCₓ.coe.{1, 1} (Subfield.{0} Complex Complex.field) (Set.{0} Complex) (SetLike.Set.hasCoeT.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)))) K)) -> (Or (Eq.{1} (Subfield.{0} Complex Complex.field) K (RingHom.fieldRange.{0, 0} Real Complex Real.field Complex.field Complex.ofReal)) (Eq.{1} (Subfield.{0} Complex Complex.field) K (Top.top.{0} (Subfield.{0} Complex Complex.field) (Subfield.hasTop.{0} Complex Complex.field))))
-but is expected to have type
-  forall {K : Subfield.{0} Complex Complex.instFieldComplex}, (IsClosed.{0} Complex (UniformSpace.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)))))) (SetLike.coe.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex) K)) -> (Or (Eq.{1} (Subfield.{0} Complex Complex.instFieldComplex) K (RingHom.fieldRange.{0, 0} Real Complex Real.field Complex.instFieldComplex Complex.ofReal)) (Eq.{1} (Subfield.{0} Complex Complex.instFieldComplex) K (Top.top.{0} (Subfield.{0} Complex Complex.instFieldComplex) (Subfield.instTopSubfield.{0} Complex Complex.instFieldComplex))))
-Case conversion may be inaccurate. Consider using '#align complex.subfield_eq_of_closed Complex.subfield_eq_of_closedₓ'. -/
 /-- The only closed subfields of `ℂ` are `ℝ` and `ℂ`. -/
 theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set ℂ)) :
     K = ofReal.fieldRange ∨ K = ⊤ :=
@@ -58,9 +52,6 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
   simp only [image_univ]
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 
-/- warning: complex.uniform_continuous_ring_hom_eq_id_or_conj -> Complex.uniformContinuous_ringHom_eq_id_or_conj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conjₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform

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

@@ -74,9 +74,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
     Subring.topologicalRing K.topological_closure.to_subring
   set ι : K → K.topological_closure := Subfield.inclusion K.le_topological_closure
   have ui : UniformInducing ι :=
-    ⟨by
-      erw [uniformity_subtype, uniformity_subtype, Filter.comap_comap]
-      congr ⟩
+    ⟨by erw [uniformity_subtype, uniformity_subtype, Filter.comap_comap]; congr ⟩
   let di := ui.dense_inducing _
   · -- extψ : closure(K) →+* ℂ is the extension of ψ : K →+* ℂ
     let extψ := DenseInducing.extendRingHom ui di.dense hc
@@ -94,8 +92,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
         rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
         convert this using 1
         · exact (DenseInducing.extend_eq di hc.continuous _).symm
-        · rw [← of_real.coe_range_restrict, hr]
-          rfl
+        · rw [← of_real.coe_range_restrict, hr]; rfl
       obtain ⟨r, hr⟩ := SetLike.coe_mem (j (ι x))
       exact ⟨r, Subtype.ext hr⟩
     · -- ψ₁ is the continuous ring hom `ℂ →+* ℂ` constructed from `closure (K) ≃+* ℂ`
@@ -105,26 +102,18 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
           (RingHom.comp (RingEquiv.subfieldCongr h).symm.toRingHom
             (@Subfield.topEquiv ℂ _).symm.toRingHom)
       cases' ring_hom_eq_id_or_conj_of_continuous (by continuity : Continuous ψ₁) with h h
-      · left
-        ext1 z
+      · left; ext1 z
         convert RingHom.congr_fun h z using 1
         exact (DenseInducing.extend_eq di hc.continuous z).symm
-      · right
-        ext1 z
+      · right; ext1 z
         convert RingHom.congr_fun h z using 1
         exact (DenseInducing.extend_eq di hc.continuous z).symm
   · let j : { x // x ∈ closure (id '' { x | (K : Set ℂ) x }) } → (K.topological_closure : Set ℂ) :=
-      fun x =>
-      ⟨x, by
-        convert x.prop
-        simpa only [id.def, Set.image_id'] ⟩
+      fun x => ⟨x, by convert x.prop; simpa only [id.def, Set.image_id'] ⟩
     convert DenseRange.comp (Function.Surjective.denseRange _)
         (DenseEmbedding.subtype denseEmbedding_id (K : Set ℂ)).dense (by continuity : Continuous j)
     rintro ⟨y, hy⟩
-    use
-      ⟨y, by
-        convert hy
-        simpa only [id.def, Set.image_id'] ⟩
+    use ⟨y, by convert hy; simpa only [id.def, Set.image_id'] ⟩
     simp only [Subtype.mk_eq_mk, Subtype.coe_mk]
 #align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conj
 

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: Xavier Roblot
 
 ! This file was ported from Lean 3 source module topology.instances.complex
-! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Algebra.UniformRing
 
 /-!
 # Some results about the topology of ℂ
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/
 
 
@@ -56,10 +59,7 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 
 /- warning: complex.uniform_continuous_ring_hom_eq_id_or_conj -> Complex.uniformContinuous_ringHom_eq_id_or_conj is a dubious translation:
-lean 3 declaration is
-  forall (K : Subfield.{0} Complex Complex.field) {ψ : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))}, (UniformContinuous.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (Subtype.uniformSpace.{0} Complex (fun (x : Complex) => Membership.Mem.{0, 0} Complex (Subfield.{0} Complex Complex.field) (SetLike.hasMem.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) x K) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (coeFn.{1, 1} (RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))) (fun (_x : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))) => (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.hasCoeToFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))) ψ)) -> (Or (Eq.{1} ((coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.toFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring)) ψ) (coeFn.{1, 1} (RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (fun (_x : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) => (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.hasCoeToFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (Subfield.subtype.{0} Complex Complex.field K))) (Eq.{1} ((coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.toFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring)) ψ) (Function.comp.{1, 1, 1} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex Complex (coeFn.{1, 1} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (fun (_x : RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) => Complex -> Complex) (RingHom.hasCoeToFun.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (starRingEnd.{0} Complex Complex.commSemiring Complex.starRing)) (coeFn.{1, 1} (RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (fun (_x : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) => (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.hasCoeToFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (Subfield.subtype.{0} Complex Complex.field K)))))
-but is expected to have type
-  forall (K : Subfield.{0} Complex Complex.instFieldComplex) {ψ : RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)}, (UniformContinuous.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (instUniformSpaceSubtype.{0} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (fun (_x : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonUnitalNonAssocSemiring.toMul.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex) (RingHom.instRingHomClassRingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))))) ψ)) -> (Or (Eq.{1} ((Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) -> Complex) (OneHom.toFun.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulOneClass.toOne.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))))) (MulOneClass.toOne.{0} Complex (MulZeroOneClass.toMulOneClass.{0} Complex (NonAssocSemiring.toMulZeroOneClass.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)))) (MonoidHom.toOneHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (MulZeroOneClass.toMulOneClass.{0} Complex (NonAssocSemiring.toMulZeroOneClass.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))) (RingHom.toMonoidHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex) ψ))) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (fun (_x : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 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Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex 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(Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))) (RingHom.instRingHomClassRingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))))) (Subfield.subtype.{0} Complex Complex.instFieldComplex K))) (Eq.{1} ((Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) -> Complex) (OneHom.toFun.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulOneClass.toOne.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))))) (MulOneClass.toOne.{0} Complex (MulZeroOneClass.toMulOneClass.{0} Complex (NonAssocSemiring.toMulZeroOneClass.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)))) (MonoidHom.toOneHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (MulZeroOneClass.toMulOneClass.{0} Complex (NonAssocSemiring.toMulZeroOneClass.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))) (RingHom.toMonoidHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex) ψ))) (Function.comp.{1, 1, 1} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex Complex (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex (fun (_x : Complex) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Complex) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (RingHom.instRingHomClassRingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))))) (starRingEnd.{0} Complex Complex.instCommSemiringComplex Complex.instStarRingComplexToNonUnitalSemiringToNonUnitalCommSemiringToNonUnitalCommRingCommRing)) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (fun (_x : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonUnitalNonAssocSemiring.toMul.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))) (RingHom.instRingHomClassRingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))))) (Subfield.subtype.{0} Complex Complex.instFieldComplex K)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conjₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/

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

@@ -23,6 +23,12 @@ open Complex Set
 
 open ComplexConjugate
 
+/- warning: complex.subfield_eq_of_closed -> Complex.subfield_eq_of_closed is a dubious translation:
+lean 3 declaration is
+  forall {K : Subfield.{0} Complex Complex.field}, (IsClosed.{0} Complex (UniformSpace.toTopologicalSpace.{0} Complex (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (Subfield.{0} Complex Complex.field) (Set.{0} Complex) (HasLiftT.mk.{1, 1} (Subfield.{0} Complex Complex.field) (Set.{0} Complex) (CoeTCₓ.coe.{1, 1} (Subfield.{0} Complex Complex.field) (Set.{0} Complex) (SetLike.Set.hasCoeT.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)))) K)) -> (Or (Eq.{1} (Subfield.{0} Complex Complex.field) K (RingHom.fieldRange.{0, 0} Real Complex Real.field Complex.field Complex.ofReal)) (Eq.{1} (Subfield.{0} Complex Complex.field) K (Top.top.{0} (Subfield.{0} Complex Complex.field) (Subfield.hasTop.{0} Complex Complex.field))))
+but is expected to have type
+  forall {K : Subfield.{0} Complex Complex.instFieldComplex}, (IsClosed.{0} Complex (UniformSpace.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)))))) (SetLike.coe.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex) K)) -> (Or (Eq.{1} (Subfield.{0} Complex Complex.instFieldComplex) K (RingHom.fieldRange.{0, 0} Real Complex Real.field Complex.instFieldComplex Complex.ofReal)) (Eq.{1} (Subfield.{0} Complex Complex.instFieldComplex) K (Top.top.{0} (Subfield.{0} Complex Complex.instFieldComplex) (Subfield.instTopSubfield.{0} Complex Complex.instFieldComplex))))
+Case conversion may be inaccurate. Consider using '#align complex.subfield_eq_of_closed Complex.subfield_eq_of_closedₓ'. -/
 /-- The only closed subfields of `ℂ` are `ℝ` and `ℂ`. -/
 theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set ℂ)) :
     K = ofReal.fieldRange ∨ K = ⊤ :=
@@ -49,6 +55,12 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
   simp only [image_univ]
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 
+/- warning: complex.uniform_continuous_ring_hom_eq_id_or_conj -> Complex.uniformContinuous_ringHom_eq_id_or_conj is a dubious translation:
+lean 3 declaration is
+  forall (K : Subfield.{0} Complex Complex.field) {ψ : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))}, (UniformContinuous.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (Subtype.uniformSpace.{0} Complex (fun (x : Complex) => Membership.Mem.{0, 0} Complex (Subfield.{0} Complex Complex.field) (SetLike.hasMem.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) x K) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField)))))) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSemiNormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.normedField))))) (coeFn.{1, 1} (RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))) (fun (_x : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))) => (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.hasCoeToFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring))) ψ)) -> (Or (Eq.{1} ((coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.toFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring)) ψ) (coeFn.{1, 1} (RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (fun (_x : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) => (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.hasCoeToFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (Subfield.subtype.{0} Complex Complex.field K))) (Eq.{1} ((coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.toFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex Complex.ring)) ψ) (Function.comp.{1, 1, 1} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex Complex (coeFn.{1, 1} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (fun (_x : RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) => Complex -> Complex) (RingHom.hasCoeToFun.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.commSemiring))) (starRingEnd.{0} Complex Complex.commSemiring Complex.starRing)) (coeFn.{1, 1} (RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (fun (_x : RingHom.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) => (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) -> Complex) (RingHom.hasCoeToFun.{0, 0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) Complex (NonAssocRing.toNonAssocSemiring.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Ring.toNonAssocRing.{0} (coeSort.{1, 2} (Subfield.{0} Complex Complex.field) Type (SetLike.hasCoeToSort.{0, 0} (Subfield.{0} Complex Complex.field) Complex (Subfield.setLike.{0} Complex Complex.field)) K) (Subfield.ring.{0} Complex Complex.field K))) (NonAssocRing.toNonAssocSemiring.{0} Complex (Ring.toNonAssocRing.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.field))))) (Subfield.subtype.{0} Complex Complex.field K)))))
+but is expected to have type
+  forall (K : Subfield.{0} Complex Complex.instFieldComplex) {ψ : RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)}, (UniformContinuous.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (instUniformSpaceSubtype.{0} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex)))))) (PseudoMetricSpace.toUniformSpace.{0} Complex (SeminormedRing.toPseudoMetricSpace.{0} Complex (SeminormedCommRing.toSeminormedRing.{0} Complex (NormedCommRing.toSeminormedCommRing.{0} Complex (NormedField.toNormedCommRing.{0} Complex Complex.instNormedFieldComplex))))) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (fun (_x : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonUnitalNonAssocSemiring.toMul.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex) (RingHom.instRingHomClassRingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))))) ψ)) -> (Or (Eq.{1} ((Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) -> Complex) (OneHom.toFun.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulOneClass.toOne.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))))) (MulOneClass.toOne.{0} Complex (MulZeroOneClass.toMulOneClass.{0} Complex (NonAssocSemiring.toMulZeroOneClass.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex)))) (MonoidHom.toOneHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (MulZeroOneClass.toMulOneClass.{0} Complex (NonAssocSemiring.toMulZeroOneClass.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex))) (RingHom.toMonoidHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex Complex.instSemiringComplex) ψ))) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (fun (_x : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => Complex) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun 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(Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))) (RingHom.instRingHomClassRingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))))) (Subfield.subtype.{0} Complex Complex.instFieldComplex K))) (Eq.{1} ((Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) -> Complex) (OneHom.toFun.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex 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(Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (MulZeroOneClass.toMulOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (NonAssocSemiring.toMulZeroOneClass.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} 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(Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex))) Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (RingHom.instRingHomClassRingHom.{0, 0} Complex Complex (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)) (Semiring.toNonAssocSemiring.{0} Complex (CommSemiring.toSemiring.{0} Complex Complex.instCommSemiringComplex)))))) (starRingEnd.{0} Complex Complex.instCommSemiringComplex Complex.instStarRingComplexToNonUnitalSemiringToNonUnitalCommSemiringToNonUnitalCommRingCommRing)) (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (fun (_x : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex 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(Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))))) (NonUnitalNonAssocSemiring.toMul.{0} Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex))))) (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))) (RingHom.instRingHomClassRingHom.{0, 0} (Subtype.{1} Complex (fun (x : Complex) => Membership.mem.{0, 0} Complex (Subfield.{0} Complex Complex.instFieldComplex) (SetLike.instMembership.{0, 0} (Subfield.{0} Complex Complex.instFieldComplex) Complex (Subfield.instSetLikeSubfield.{0} Complex Complex.instFieldComplex)) x K)) Complex (Subsemiring.toNonAssocSemiring.{0} Complex (Semiring.toNonAssocSemiring.{0} Complex (Ring.toSemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)))) (Subring.toSubsemiring.{0} Complex (DivisionRing.toRing.{0} Complex (Field.toDivisionRing.{0} Complex Complex.instFieldComplex)) (Subfield.toSubring.{0} Complex Complex.instFieldComplex K))) (Semiring.toNonAssocSemiring.{0} Complex (DivisionSemiring.toSemiring.{0} Complex (Semifield.toDivisionSemiring.{0} Complex (Field.toSemifield.{0} Complex Complex.instFieldComplex)))))))) (Subfield.subtype.{0} Complex Complex.instFieldComplex K)))))
+Case conversion may be inaccurate. Consider using '#align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conjₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

@@ -49,8 +49,8 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
   simp only [image_univ]
 #align complex.subfield_eq_of_closed Complex.subfield_eq_of_closed
 
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:301:22: continuitity! not supported at the moment -/
-/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:301:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
+/- ./././Mathport/Syntax/Translate/Tactic/Mathlib/Misc2.lean:304:22: continuitity! not supported at the moment -/
 /-- Let `K` a subfield of `ℂ` and let `ψ : K →+* ℂ` a ring homomorphism. Assume that `ψ` is uniform
 continuous, then `ψ` is either the inclusion map or the composition of the inclusion map with the
 complex conjugation. -/

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

@@ -4,13 +4,13 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Xavier Roblot
 
 ! This file was ported from Lean 3 source module topology.instances.complex
-! leanprover-community/mathlib commit 78ac1db34d90519b8e8f7bfe39cb264a6a117db2
+! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathbin.Topology.Algebra.UniformField
 import Mathbin.Analysis.Complex.Basic
-import Mathbin.FieldTheory.Adjoin
+import Mathbin.FieldTheory.IntermediateField
+import Mathbin.Topology.Algebra.UniformRing
 
 /-!
 # Some results about the topology of ℂ

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

@@ -106,8 +106,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       ⟨x, by
         convert x.prop
         simpa only [id.def, Set.image_id'] ⟩
-    convert
-      DenseRange.comp (Function.Surjective.denseRange _)
+    convert DenseRange.comp (Function.Surjective.denseRange _)
         (DenseEmbedding.subtype denseEmbedding_id (K : Set ℂ)).dense (by continuity : Continuous j)
     rintro ⟨y, hy⟩
     use

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

Now that I am defining NNRat.cast, I want a definitive answer to this naming issue. Plenty of lemmas in mathlib already use natCast/intCast/ratCast over nat_cast/int_cast/rat_cast, and this matches with the general expectation that underscore-separated name parts correspond to a single declaration.

@@ -35,7 +35,7 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
     rw [← IsClosed.closure_eq hc]
     apply closure_mono
     rintro _ ⟨_, rfl⟩
-    simp only [Function.comp_apply, ofReal_rat_cast, SetLike.mem_coe, SubfieldClass.ratCast_mem]
+    simp only [Function.comp_apply, ofReal_ratCast, SetLike.mem_coe, SubfieldClass.ratCast_mem]
   nth_rw 1 [range_comp]
   refine' subset_trans _ (image_closure_subset_closure_image continuous_ofReal)
   rw [DenseRange.closure_range Rat.denseEmbedding_coe_real.dense]

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

@@ -103,7 +103,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       fun x =>
       ⟨x, by
         convert x.prop
-        simp only [id.def, Set.image_id']
+        simp only [id, Set.image_id']
         rfl ⟩
     convert DenseRange.comp (Function.Surjective.denseRange _)
         (DenseEmbedding.subtype denseEmbedding_id (K : Set ℂ)).dense (by continuity : Continuous j)
@@ -111,7 +111,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
     use
       ⟨y, by
         convert hy
-        simp only [id.def, Set.image_id']
+        simp only [id, Set.image_id']
         rfl ⟩
 #align complex.uniform_continuous_ring_hom_eq_id_or_conj Complex.uniformContinuous_ringHom_eq_id_or_conj
 

This is less exhaustive than its sibling #11486 because edge cases are harder to classify. No fundamental difficulty, just me being a bit fast and lazy.

Reduce the diff of #11203

@@ -35,7 +35,7 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
     rw [← IsClosed.closure_eq hc]
     apply closure_mono
     rintro _ ⟨_, rfl⟩
-    simp only [Function.comp_apply, ofReal_rat_cast, SetLike.mem_coe, SubfieldClass.coe_rat_mem]
+    simp only [Function.comp_apply, ofReal_rat_cast, SetLike.mem_coe, SubfieldClass.ratCast_mem]
   nth_rw 1 [range_comp]
   refine' subset_trans _ (image_closure_subset_closure_image continuous_ofReal)
   rw [DenseRange.closure_range Rat.denseEmbedding_coe_real.dense]

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -66,7 +66,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       -- ψ₁ is the continuous ring hom `ℝ →+* ℂ` constructed from `j : closure (K) ≃+* ℝ`
       -- and `extψ : closure (K) →+* ℂ`
       let ψ₁ := RingHom.comp extψ (RingHom.comp j.symm.toRingHom ofReal.rangeRestrict)
-      -- porting note: was `by continuity!` and was used inline
+      -- Porting note: was `by continuity!` and was used inline
       have hψ₁ : Continuous ψ₁ := by
         simpa only [RingHom.coe_comp] using hψ.comp ((continuous_algebraMap ℝ ℂ).subtype_mk _)
       ext1 x
@@ -87,7 +87,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
         RingHom.comp extψ
           (RingHom.comp (RingEquiv.subfieldCongr h).symm.toRingHom
             (@Subfield.topEquiv ℂ _).symm.toRingHom)
-      -- porting note: was `by continuity!` and was used inline
+      -- Porting note: was `by continuity!` and was used inline
       have hψ₁ : Continuous ψ₁ := by
         simpa only [RingHom.coe_comp] using hψ.comp (continuous_id.subtype_mk _)
       cases' ringHom_eq_id_or_conj_of_continuous hψ₁ with h h

And the same thing for StarSubalgebra R A. IntermediateField was already handled in #7957.

As a result, nine (obvious) lemmas are now true by definition.

This slightly adjusts the statement of Algebra.toSubmodule_bot to make it simpler and true by definition; the original statement can be recovered by rewriting by Submodule.one_eq_span, which I've had to add in some downstream proofs.

@@ -28,10 +28,8 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
     have :=
       (Subalgebra.isSimpleOrder_of_finrank finrank_real_complex).eq_bot_or_eq_top
         (Subfield.toIntermediateField K this).toSubalgebra
-    simp_rw [← SetLike.coe_set_eq] at this ⊢
-    convert this using 2
-    simp only [RingHom.coe_fieldRange, Algebra.coe_bot, coe_algebraMap]
-    rfl
+    simp_rw [← SetLike.coe_set_eq, IntermediateField.coe_toSubalgebra] at this ⊢
+    exact this
   suffices range (ofReal' : ℝ → ℂ) ⊆ closure (Set.range ((ofReal' : ℝ → ℂ) ∘ ((↑) : ℚ → ℝ))) by
     refine' subset_trans this _
     rw [← IsClosed.closure_eq hc]

This reverts commit f3695eb2.

@@ -75,7 +75,8 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       rsuffices ⟨r, hr⟩ : ∃ r : ℝ, ofReal.rangeRestrict r = j (ι x)
       · have :=
           RingHom.congr_fun (ringHom_eq_ofReal_of_continuous hψ₁) r
-        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
+        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+        erw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
         convert this using 1
         · exact (DenseInducing.extend_eq di hc.continuous _).symm
         · rw [← ofReal.coe_rangeRestrict, hr]

This reverts commit 26eb2b0a.

@@ -75,8 +75,7 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       rsuffices ⟨r, hr⟩ : ∃ r : ℝ, ofReal.rangeRestrict r = j (ι x)
       · have :=
           RingHom.congr_fun (ringHom_eq_ofReal_of_continuous hψ₁) r
-        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-        erw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
+        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
         convert this using 1
         · exact (DenseInducing.extend_eq di hc.continuous _).symm
         · rw [← ofReal.coe_rangeRestrict, hr]

This includes all the changes from #7606.

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

@@ -75,7 +75,8 @@ theorem Complex.uniformContinuous_ringHom_eq_id_or_conj (K : Subfield ℂ) {ψ :
       rsuffices ⟨r, hr⟩ : ∃ r : ℝ, ofReal.rangeRestrict r = j (ι x)
       · have :=
           RingHom.congr_fun (ringHom_eq_ofReal_of_continuous hψ₁) r
-        rw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
+        -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+        erw [RingHom.comp_apply, RingHom.comp_apply, hr, RingEquiv.toRingHom_eq_coe] at this
         convert this using 1
         · exact (DenseInducing.extend_eq di hc.continuous _).symm
         · rw [← ofReal.coe_rangeRestrict, hr]

• 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) 2022 Xavier Roblot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Xavier Roblot
-
-! This file was ported from Lean 3 source module topology.instances.complex
-! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Complex.Basic
 import Mathlib.FieldTheory.IntermediateField
 import Mathlib.Topology.Algebra.UniformRing
 
+#align_import topology.instances.complex from "leanprover-community/mathlib"@"f0c8bf9245297a541f468be517f1bde6195105e9"
+
 /-!
 # Some results about the topology of ℂ
 -/

Changes are of the form

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

@@ -31,7 +31,7 @@ theorem Complex.subfield_eq_of_closed {K : Subfield ℂ} (hc : IsClosed (K : Set
     have :=
       (Subalgebra.isSimpleOrder_of_finrank finrank_real_complex).eq_bot_or_eq_top
         (Subfield.toIntermediateField K this).toSubalgebra
-    simp_rw [← SetLike.coe_set_eq] at this⊢
+    simp_rw [← SetLike.coe_set_eq] at this ⊢
     convert this using 2
     simp only [RingHom.coe_fieldRange, Algebra.coe_bot, coe_algebraMap]
     rfl