topology.algebra.module.star | Mathlib porting status

Changes since the initial port

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

Changes in mathlib3

ad84a13c

(last sync)

feat(analysis/calculus/fderiv/star): derivative of star in star-modules over a trivial star-ring (#19038)

Notably this includes the complex and quaternion conjugates.

We need the has_trivial_star assumption in order to have star (c • x) = c • star x available; which in turn we need because has_fderiv_at consumes linear maps not semi-linear maps. In the absence of an easy way to convert between linear and semi-linear maps, we bundle star (again) as a continuous linear equiv as starL'. Some alternative approaches are discussed on Zulip.

These API here is just the API for - (neg), modified by replacing neg with star and -f x with star (f x). Since we require has_trivial_star there is no point adding any lemmas for the derivative of star on the field itself.

Diff

@@ -25,6 +25,22 @@ def starL (R : Type*) {A : Type*}
   continuous_to_fun := continuous_star,
   continuous_inv_fun := continuous_star }
 
+-- TODO: this could be replaced with something like `(starL R).restrict_scalarsₛₗ h` if we
+-- implemented the idea in
+-- https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/Star-semilinear.20maps.20are.20semilinear.20when.20star.20is.20trivial/near/359557835
+/-- If `A` is a topological module over a commutative `R` with trivial star and compatible actions,
+then `star` is a continuous linear equivalence. -/
+@[simps]
+def starL' (R : Type*) {A : Type*}
+  [comm_semiring R] [star_ring R] [has_trivial_star R] [add_comm_monoid A] [star_add_monoid A]
+  [module R A] [star_module R A] [topological_space A] [has_continuous_star A] :
+    A ≃L[R] A :=
+(starL R : A ≃L⋆[R] A).trans
+  ({ map_smul' := λ r a, by simp [star_ring_end_apply],
+    continuous_to_fun := continuous_id,
+    continuous_inv_fun := continuous_id,
+    ..add_equiv.refl A, } : A ≃L⋆[R] A)
+
 variables (R : Type*) (A : Type*)
   [semiring R] [star_semigroup R] [has_trivial_star R]
   [add_comm_group A] [module R A] [star_add_monoid A] [star_module R A]

aa666983

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

ad84a13c

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2023 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser, Frédéric Dupuis
 -/
-import Mathbin.Algebra.Star.Module
-import Mathbin.Topology.Algebra.Module.Basic
-import Mathbin.Topology.Algebra.Star
+import Algebra.Star.Module
+import Topology.Algebra.Module.Basic
+import Topology.Algebra.Star
 
 #align_import topology.algebra.module.star from "leanprover-community/mathlib"@"ad84a13c884fd19e286fb7abb36f4b9ba7e2f615"

ad84a13c

bump to nightly-2023-09-02-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/442a83d738cb208d3600056c489be16900ba701d

a4ca67cb

Diff

@@ -49,7 +49,7 @@ def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar
 #align starL' starL'
 -/
 
-variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
+variable (R : Type _) (A : Type _) [Semiring R] [StarMul R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
 #print continuous_selfAdjointPart /-

ad84a13c

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2023 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module topology.algebra.module.star
-! leanprover-community/mathlib commit ad84a13c884fd19e286fb7abb36f4b9ba7e2f615
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Star.Module
 import Mathbin.Topology.Algebra.Module.Basic
 import Mathbin.Topology.Algebra.Star
 
+#align_import topology.algebra.module.star from "leanprover-community/mathlib"@"ad84a13c884fd19e286fb7abb36f4b9ba7e2f615"
+
 /-!
 # The star operation, bundled as a continuous star-linear equiv

ad84a13c

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -55,26 +55,35 @@ def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
+#print continuous_selfAdjointPart /-
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@selfAdjointPart R A _ _ _ _ _ _ _ _) :=
   ((continuous_const_smul _).comp <| continuous_id.add continuous_star).subtype_mk _
 #align continuous_self_adjoint_part continuous_selfAdjointPart
+-/
 
+#print continuous_skewAdjointPart /-
 theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@skewAdjointPart R A _ _ _ _ _ _ _ _) :=
   ((continuous_const_smul _).comp <| continuous_id.sub continuous_star).subtype_mk _
 #align continuous_skew_adjoint_part continuous_skewAdjointPart
+-/
 
+#print continuous_decomposeProdAdjoint /-
 theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar A]
     [ContinuousConstSMul R A] : Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _) :=
   (continuous_selfAdjointPart R A).prod_mk (continuous_skewAdjointPart R A)
 #align continuous_decompose_prod_adjoint continuous_decomposeProdAdjoint
+-/
 
+#print continuous_decomposeProdAdjoint_symm /-
 theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
     Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _).symm :=
   (continuous_subtype_val.comp continuous_fst).add (continuous_subtype_val.comp continuous_snd)
 #align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symm
+-/
 
+#print selfAdjointPartL /-
 /-- The self-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
 def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
@@ -82,7 +91,9 @@ def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R
   toLinearMap := selfAdjointPart R
   cont := continuous_selfAdjointPart _ _
 #align self_adjoint_partL selfAdjointPartL
+-/
 
+#print skewAdjointPartL /-
 /-- The skew-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
 def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
@@ -90,7 +101,9 @@ def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R
   toLinearMap := skewAdjointPart R
   cont := continuous_skewAdjointPart _ _
 #align skew_adjoint_partL skewAdjointPartL
+-/
 
+#print StarModule.decomposeProdAdjointL /-
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a continuous linear equivalence. -/
 @[simps]
@@ -101,4 +114,5 @@ def StarModule.decomposeProdAdjointL [TopologicalAddGroup A] [ContinuousStar A]
   continuous_toFun := continuous_decomposeProdAdjoint _ _
   continuous_invFun := continuous_decomposeProdAdjoint_symm _ _
 #align star_module.decompose_prod_adjointL StarModule.decomposeProdAdjointL
+-/

ad84a13c

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -55,41 +55,26 @@ def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
-/- warning: continuous_self_adjoint_part -> continuous_selfAdjointPart is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_self_adjoint_part continuous_selfAdjointPartₓ'. -/
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@selfAdjointPart R A _ _ _ _ _ _ _ _) :=
   ((continuous_const_smul _).comp <| continuous_id.add continuous_star).subtype_mk _
 #align continuous_self_adjoint_part continuous_selfAdjointPart
 
-/- warning: continuous_skew_adjoint_part -> continuous_skewAdjointPart is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_skew_adjoint_part continuous_skewAdjointPartₓ'. -/
 theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@skewAdjointPart R A _ _ _ _ _ _ _ _) :=
   ((continuous_const_smul _).comp <| continuous_id.sub continuous_star).subtype_mk _
 #align continuous_skew_adjoint_part continuous_skewAdjointPart
 
-/- warning: continuous_decompose_prod_adjoint -> continuous_decomposeProdAdjoint is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint continuous_decomposeProdAdjointₓ'. -/
 theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar A]
     [ContinuousConstSMul R A] : Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _) :=
   (continuous_selfAdjointPart R A).prod_mk (continuous_skewAdjointPart R A)
 #align continuous_decompose_prod_adjoint continuous_decomposeProdAdjoint
 
-/- warning: continuous_decompose_prod_adjoint_symm -> continuous_decomposeProdAdjoint_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symmₓ'. -/
 theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
     Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _).symm :=
   (continuous_subtype_val.comp continuous_fst).add (continuous_subtype_val.comp continuous_snd)
 #align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symm
 
-/- warning: self_adjoint_partL -> selfAdjointPartL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align self_adjoint_partL selfAdjointPartLₓ'. -/
 /-- The self-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
 def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
@@ -98,9 +83,6 @@ def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R
   cont := continuous_selfAdjointPart _ _
 #align self_adjoint_partL selfAdjointPartL
 
-/- warning: skew_adjoint_partL -> skewAdjointPartL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align skew_adjoint_partL skewAdjointPartLₓ'. -/
 /-- The skew-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
 def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
@@ -109,9 +91,6 @@ def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R
   cont := continuous_skewAdjointPart _ _
 #align skew_adjoint_partL skewAdjointPartL
 
-/- warning: star_module.decompose_prod_adjointL -> StarModule.decomposeProdAdjointL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align star_module.decompose_prod_adjointL StarModule.decomposeProdAdjointLₓ'. -/
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a continuous linear equivalence. -/
 @[simps]

ad84a13c

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -56,10 +56,7 @@ variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
 /- warning: continuous_self_adjoint_part -> continuous_selfAdjointPart is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A 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(AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
-but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_self_adjoint_part continuous_selfAdjointPartₓ'. -/
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@selfAdjointPart R A _ _ _ _ _ _ _ _) :=
@@ -67,10 +64,7 @@ theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [Continu
 #align continuous_self_adjoint_part continuous_selfAdjointPart
 
 /- warning: continuous_skew_adjoint_part -> continuous_skewAdjointPart is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9 (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 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A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
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(InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (skewAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_skew_adjoint_part continuous_skewAdjointPartₓ'. -/
 theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@skewAdjointPart R A _ _ _ _ _ _ _ _) :=
@@ -78,10 +72,7 @@ theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [Continu
 #align continuous_skew_adjoint_part continuous_skewAdjointPart
 
 /- warning: continuous_decompose_prod_adjoint -> continuous_decomposeProdAdjoint is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A 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(InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint continuous_decomposeProdAdjointₓ'. -/
 theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar A]
     [ContinuousConstSMul R A] : Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _) :=
@@ -89,10 +80,7 @@ theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar
 #align continuous_decompose_prod_adjoint continuous_decomposeProdAdjoint
 
 /- warning: continuous_decompose_prod_adjoint_symm -> continuous_decomposeProdAdjoint_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symmₓ'. -/
 theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
     Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _).symm :=
@@ -100,10 +88,7 @@ theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
 #align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symm
 
 /- warning: self_adjoint_partL -> selfAdjointPartL is a dubious translation:
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A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} 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(InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)
+<too large>
 Case conversion may be inaccurate. Consider using '#align self_adjoint_partL selfAdjointPartLₓ'. -/
 /-- The self-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
@@ -114,10 +99,7 @@ def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R
 #align self_adjoint_partL selfAdjointPartL
 
 /- warning: skew_adjoint_partL -> skewAdjointPartL is a dubious translation:
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(InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A 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(InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A 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[_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)
+<too large>
 Case conversion may be inaccurate. Consider using '#align skew_adjoint_partL skewAdjointPartLₓ'. -/
 /-- The skew-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
@@ -128,10 +110,7 @@ def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R
 #align skew_adjoint_partL skewAdjointPartL
 
 /- warning: star_module.decompose_prod_adjointL -> StarModule.decomposeProdAdjointL is a dubious translation:
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(InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A 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(InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) (instTopologicalSpaceProd.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9)) (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7))
+<too large>
 Case conversion may be inaccurate. Consider using '#align star_module.decompose_prod_adjointL StarModule.decomposeProdAdjointLₓ'. -/
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a continuous linear equivalence. -/

ad84a13c

bump to nightly-2023-05-24-10

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

bcb5c9bd

Diff

@@ -33,6 +33,7 @@ def starL (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid
 #align starL starL
 -/
 
+#print starL' /-
 -- TODO: this could be replaced with something like `(starL R).restrict_scalarsₛₗ h` if we
 -- implemented the idea in
 -- https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/Star-semilinear.20maps.20are.20semilinear.20when.20star.20is.20trivial/near/359557835
@@ -49,6 +50,7 @@ def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar
         continuous_invFun := continuous_id } :
       A ≃L⋆[R] A)
 #align starL' starL'
+-/
 
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]

ad84a13c

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -57,7 +57,7 @@ variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9 (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) => A -> (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
 Case conversion may be inaccurate. Consider using '#align continuous_self_adjoint_part continuous_selfAdjointPartₓ'. -/
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@selfAdjointPart R A _ _ _ _ _ _ _ _) :=
@@ -68,7 +68,7 @@ theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [Continu
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9 (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) => A -> (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (skewAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (skewAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (skewAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
 Case conversion may be inaccurate. Consider using '#align continuous_skew_adjoint_part continuous_skewAdjointPartₓ'. -/
 theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@skewAdjointPart R A _ _ _ _ _ _ _ _) :=
@@ -79,7 +79,7 @@ theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [Continu
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A 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_inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_1 (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 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_inst_5))))], Continuous.{u2, u2} A (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_9 (instTopologicalSpaceProd.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) 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_inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} R R A (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_9 (instTopologicalSpaceProd.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) A (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A 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_inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R 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u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
 Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint continuous_decomposeProdAdjointₓ'. -/
 theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar A]
     [ContinuousConstSMul R A] : Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _) :=
@@ -90,7 +90,7 @@ theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)], 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8)))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)], Continuous.{u2, u2} (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A 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(AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u2, u2} R R (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) A _inst_1 _inst_1 (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (LinearEquiv.symm.{u1, u1, u2, u2} R R A (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8)))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)], Continuous.{u2, u2} (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A 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A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8)))
 Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symmₓ'. -/
 theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
     Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _).symm :=

ad84a13c

bump to nightly-2023-05-24-03

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

2c55cf2c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module topology.algebra.module.star
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
+! leanprover-community/mathlib commit ad84a13c884fd19e286fb7abb36f4b9ba7e2f615
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -33,6 +33,23 @@ def starL (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid
 #align starL starL
 -/
 
+-- TODO: this could be replaced with something like `(starL R).restrict_scalarsₛₗ h` if we
+-- implemented the idea in
+-- https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/Star-semilinear.20maps.20are.20semilinear.20when.20star.20is.20trivial/near/359557835
+/-- If `A` is a topological module over a commutative `R` with trivial star and compatible actions,
+then `star` is a continuous linear equivalence. -/
+@[simps]
+def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar R] [AddCommMonoid A]
+    [StarAddMonoid A] [Module R A] [StarModule R A] [TopologicalSpace A] [ContinuousStar A] :
+    A ≃L[R] A :=
+  (starL R : A ≃L⋆[R] A).trans
+    ({ AddEquiv.refl A with
+        map_smul' := fun r a => by simp [starRingEnd_apply]
+        continuous_toFun := continuous_id
+        continuous_invFun := continuous_id } :
+      A ≃L⋆[R] A)
+#align starL' starL'
+
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]

1b0a28e1

bump to nightly-2023-05-22-03

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

5dfda1a5

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module topology.algebra.module.star
-! leanprover-community/mathlib commit aa6669832974f87406a3d9d70fc5707a60546207
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
 ! 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.Star
 
 /-!
 # The star operation, bundled as a continuous star-linear equiv
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 -/

aa666983

bump to nightly-2023-05-20-12

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

cb56d47a

Diff

@@ -17,6 +17,7 @@ import Mathbin.Topology.Algebra.Star
 -/
 
 
+#print starL /-
 /-- If `A` is a topological module over a commutative `R` with compatible actions,
 then `star` is a continuous semilinear equivalence. -/
 @[simps]
@@ -27,30 +28,61 @@ def starL (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid
   continuous_toFun := continuous_star
   continuous_invFun := continuous_star
 #align starL starL
+-/
 
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
+/- warning: continuous_self_adjoint_part -> continuous_selfAdjointPart is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A 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(selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (selfAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+Case conversion may be inaccurate. Consider using '#align continuous_self_adjoint_part continuous_selfAdjointPartₓ'. -/
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@selfAdjointPart R A _ _ _ _ _ _ _ _) :=
   ((continuous_const_smul _).comp <| continuous_id.add continuous_star).subtype_mk _
 #align continuous_self_adjoint_part continuous_selfAdjointPart
 
+/- warning: continuous_skew_adjoint_part -> continuous_skewAdjointPart is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A 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(AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (skewAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_9 (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (skewAdjointPart.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+Case conversion may be inaccurate. Consider using '#align continuous_skew_adjoint_part continuous_skewAdjointPartₓ'. -/
 theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
     Continuous (@skewAdjointPart R A _ _ _ _ _ _ _ _) :=
   ((continuous_const_smul _).comp <| continuous_id.sub continuous_star).subtype_mk _
 #align continuous_skew_adjoint_part continuous_skewAdjointPart
 
+/- warning: continuous_decompose_prod_adjoint -> continuous_decomposeProdAdjoint is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Prod.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_9 (Prod.topologicalSpace.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} 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+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], Continuous.{u2, u2} A (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_9 (instTopologicalSpaceProd.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} 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u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1)))))) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8))
+Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint continuous_decomposeProdAdjointₓ'. -/
 theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar A]
     [ContinuousConstSMul R A] : Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _) :=
   (continuous_selfAdjointPart R A).prod_mk (continuous_skewAdjointPart R A)
 #align continuous_decompose_prod_adjoint continuous_decomposeProdAdjoint
 
+/- warning: continuous_decompose_prod_adjoint_symm -> continuous_decomposeProdAdjoint_symm is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) 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A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)], 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8)))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)], Continuous.{u2, u2} (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A 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u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_1 _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) (StarModule.decomposeProdAdjoint.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8)))
+Case conversion may be inaccurate. Consider using '#align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symmₓ'. -/
 theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
     Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _).symm :=
   (continuous_subtype_val.comp continuous_fst).add (continuous_subtype_val.comp continuous_snd)
 #align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symm
 
+/- warning: self_adjoint_partL -> selfAdjointPartL is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousAdd.{u2} A _inst_9 (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) _inst_5 (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)
+Case conversion may be inaccurate. Consider using '#align self_adjoint_partL selfAdjointPartLₓ'. -/
 /-- The self-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
 def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :
@@ -59,6 +91,12 @@ def selfAdjointPartL [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R
   cont := continuous_selfAdjointPart _ _
 #align self_adjoint_partL selfAdjointPartL
 
+/- warning: skew_adjoint_partL -> skewAdjointPartL is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : ContinuousSub.{u2} A _inst_9 (SubNegMonoid.toSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearMap.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_5 (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7)
+Case conversion may be inaccurate. Consider using '#align skew_adjoint_partL skewAdjointPartLₓ'. -/
 /-- The skew-adjoint part of an element of a star module, as a continuous linear map. -/
 @[simps]
 def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A] :
@@ -67,6 +105,12 @@ def skewAdjointPartL [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R
   cont := continuous_skewAdjointPart _ _
 #align skew_adjoint_partL skewAdjointPartL
 
+/- warning: star_module.decompose_prod_adjointL -> StarModule.decomposeProdAdjointL is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 2 (OfNat.mk.{u1} R 2 (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6))) (Prod.topologicalSpace.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (Subtype.topologicalSpace.{u2} A (fun (x : A) => Membership.Mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.hasMem.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9)) (Prod.addCommMonoid.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_1 (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddCommGroup.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.setLike.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) (skewAdjoint.{u2} A _inst_4 _inst_6)) (AddSubgroup.toAddCommGroup.{u2} A _inst_4 (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.module.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : Semiring.{u1} R] [_inst_2 : StarSemigroup.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))] [_inst_3 : TrivialStar.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2))] [_inst_4 : AddCommGroup.{u2} A] [_inst_5 : Module.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4)] [_inst_6 : StarAddMonoid.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))] [_inst_7 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6)) (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))] [_inst_8 : Invertible.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toOne.{u1} R _inst_1) (OfNat.ofNat.{u1} R 2 (instOfNat.{u1} R 2 (Semiring.toNatCast.{u1} R _inst_1) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] [_inst_9 : TopologicalSpace.{u2} A] [_inst_10 : TopologicalAddGroup.{u2} A _inst_9 (AddCommGroup.toAddGroup.{u2} A _inst_4)] [_inst_11 : ContinuousStar.{u2} A _inst_9 (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) _inst_6))] [_inst_12 : ContinuousConstSMul.{u1, u2} R A _inst_9 (SMulZeroClass.toSMul.{u1, u2} R A (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R _inst_1) (NegZeroClass.toZero.{u2} A (SubNegZeroMonoid.toNegZeroClass.{u2} A (SubtractionMonoid.toSubNegZeroMonoid.{u2} A (SubtractionCommMonoid.toSubtractionMonoid.{u2} A (AddCommGroup.toDivisionAddCommMonoid.{u2} A _inst_4))))) (Module.toMulActionWithZero.{u1, u2} R A _inst_1 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) _inst_5))))], ContinuousLinearEquiv.{u1, u1, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R _inst_1) (RingHomInvPair.ids.{u1} R _inst_1) A _inst_9 (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (Prod.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)))) (instTopologicalSpaceProd.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6)) _inst_9) (instTopologicalSpaceSubtype.{u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6)) _inst_9)) (Prod.instAddCommMonoidSum.{u2, u2} (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6)))) _inst_5 (Prod.module.{u1, u2, u2} R (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (SetLike.instMembership.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4))) x (skewAdjoint.{u2} A _inst_4 _inst_6))) _inst_1 (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (AddSubmonoid.toAddCommMonoid.{u2} A (AddCommGroup.toAddCommMonoid.{u2} A _inst_4) (AddSubgroup.toAddSubmonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) (skewAdjoint.{u2} A _inst_4 _inst_6))) (selfAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSelfAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7) (skewAdjoint.instModuleSubtypeMemAddSubgroupToAddGroupInstMembershipInstSetLikeAddSubgroupSkewAdjointToAddCommMonoidToAddCommMonoidToAddSubmonoid.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (SemigroupWithZero.toSemigroup.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) _inst_2)) _inst_3 _inst_4 _inst_6 _inst_1 _inst_5 _inst_7))
+Case conversion may be inaccurate. Consider using '#align star_module.decompose_prod_adjointL StarModule.decomposeProdAdjointLₓ'. -/
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a continuous linear equivalence. -/
 @[simps]

aa666983

bump to nightly-2023-05-20-03

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

0efc566e

Changes in mathlib4

mathlib3

mathlib4

ad84a13c

refactor: replace some [@foo](https://github.com/foo) _ _ _ _ _ ... by named arguments (#8702)

Using Lean4's named arguments, we manage to remove a few hard-to-read explicit function calls [@foo](https://github.com/foo) _ _ _ _ _ ... which used to be necessary in Lean3.

Occasionally, this results in slightly longer code. The benefit of named arguments is readability, as well as to reduce the brittleness of the code when the argument order is changed.

Co-authored-by: Michael Rothgang <rothgami@math.hu-berlin.de>

df634f2a

Diff

@@ -58,12 +58,12 @@ theorem continuous_skewAdjointPart [ContinuousSub A] [ContinuousStar A] [Continu
 #align continuous_skew_adjoint_part continuous_skewAdjointPart
 
 theorem continuous_decomposeProdAdjoint [TopologicalAddGroup A] [ContinuousStar A]
-    [ContinuousConstSMul R A] : Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _) :=
+    [ContinuousConstSMul R A] : Continuous (StarModule.decomposeProdAdjoint R A) :=
   (continuous_selfAdjointPart R A).prod_mk (continuous_skewAdjointPart R A)
 #align continuous_decompose_prod_adjoint continuous_decomposeProdAdjoint
 
 theorem continuous_decomposeProdAdjoint_symm [TopologicalAddGroup A] :
-    Continuous (@StarModule.decomposeProdAdjoint R A _ _ _ _ _ _ _ _).symm :=
+    Continuous (StarModule.decomposeProdAdjoint R A).symm :=
   (continuous_subtype_val.comp continuous_fst).add (continuous_subtype_val.comp continuous_snd)
 #align continuous_decompose_prod_adjoint_symm continuous_decomposeProdAdjoint_symm

ad84a13c

refactor(Algebra/Star/*): Allow for star operation on non-associative algebras (#6562)

Typically a * operation on a mathematical structure R equipped with a multiplication is an involutive anti-automorphism i.e.

∀ r s : R, star (r * s) = star s * star r

Currently mathlib defines a class StarSemigroup to be a semigroup satisfying this property. However, the requirement for the multiplication to be associative is unnecessarily restrictive. There are important classes of star-algebra which are not associative (e.g. JB*-algebras).

This PR removes the requirement for a StarSemigroup to be a semigroup, merely requiring it to have a multiplication.

I've changed the name from StarSemigroup to StarMul since it's no longer a semigroup.

Zulip discussion

Previously opened as a mathlib PR https://github.com/leanprover-community/mathlib/pull/17949

Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

85c04e73

Diff

@@ -44,7 +44,7 @@ def starL' (R : Type*) {A : Type*} [CommSemiring R] [StarRing R] [TrivialStar R]
       A ≃L⋆[R] A)
 #align starL' starL'
 
-variable (R : Type*) (A : Type*) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
+variable (R : Type*) (A : Type*) [Semiring R] [StarMul R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :

ad84a13c

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -19,7 +19,7 @@ set_option linter.uppercaseLean3 false
 /-- If `A` is a topological module over a commutative `R` with compatible actions,
 then `star` is a continuous semilinear equivalence. -/
 @[simps!]
-def starL (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid A]
+def starL (R : Type*) {A : Type*} [CommSemiring R] [StarRing R] [AddCommMonoid A]
     [StarAddMonoid A] [Module R A] [StarModule R A] [TopologicalSpace A] [ContinuousStar A] :
     A ≃L⋆[R] A where
   toLinearEquiv := starLinearEquiv R
@@ -33,7 +33,7 @@ def starL (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid
 /-- If `A` is a topological module over a commutative `R` with trivial star and compatible actions,
 then `star` is a continuous linear equivalence. -/
 @[simps!]
-def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar R] [AddCommMonoid A]
+def starL' (R : Type*) {A : Type*} [CommSemiring R] [StarRing R] [TrivialStar R] [AddCommMonoid A]
     [StarAddMonoid A] [Module R A] [StarModule R A] [TopologicalSpace A] [ContinuousStar A] :
     A ≃L[R] A :=
   (starL R : A ≃L⋆[R] A).trans
@@ -44,7 +44,7 @@ def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar
       A ≃L⋆[R] A)
 #align starL' starL'
 
-variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
+variable (R : Type*) (A : Type*) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]
 
 theorem continuous_selfAdjointPart [ContinuousAdd A] [ContinuousStar A] [ContinuousConstSMul R A] :

ad84a13c

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2023 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module topology.algebra.module.star
-! leanprover-community/mathlib commit ad84a13c884fd19e286fb7abb36f4b9ba7e2f615
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Star.Module
 import Mathlib.Topology.Algebra.Module.Basic
 import Mathlib.Topology.Algebra.Star
 
+#align_import topology.algebra.module.star from "leanprover-community/mathlib"@"ad84a13c884fd19e286fb7abb36f4b9ba7e2f615"
+
 /-!
 # The star operation, bundled as a continuous star-linear equiv
 -/

ad84a13c

chore: forward port leanprover-community/mathlib#19038 (#4290)

2cab3965

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module topology.algebra.module.star
-! leanprover-community/mathlib commit aa6669832974f87406a3d9d70fc5707a60546207
+! leanprover-community/mathlib commit ad84a13c884fd19e286fb7abb36f4b9ba7e2f615
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -30,6 +30,23 @@ def starL (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid
   continuous_invFun := continuous_star
 #align starL starL
 
+-- TODO: this could be replaced with something like `(starL R).restrict_scalarsₛₗ h` if we
+-- implemented the idea in
+-- https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/Star-semilinear.20maps.20are.20semilinear.20when.20star.20is.20trivial/near/359557835
+/-- If `A` is a topological module over a commutative `R` with trivial star and compatible actions,
+then `star` is a continuous linear equivalence. -/
+@[simps!]
+def starL' (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [TrivialStar R] [AddCommMonoid A]
+    [StarAddMonoid A] [Module R A] [StarModule R A] [TopologicalSpace A] [ContinuousStar A] :
+    A ≃L[R] A :=
+  (starL R : A ≃L⋆[R] A).trans
+    ({ AddEquiv.refl A with
+        map_smul' := fun r a => by simp [starRingEnd_apply]
+        continuous_toFun := continuous_id
+        continuous_invFun := continuous_id } :
+      A ≃L⋆[R] A)
+#align starL' starL'
+
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A] [Invertible (2 : R)] [TopologicalSpace A]

aa666983

feat: port Topology.Algebra.Module.Star (#4135)

6de3b498

`topology.algebra.module.star` ⟷ `Mathlib.Topology.Algebra.Module.Star`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 9 + 471

topology.algebra.module.star ⟷ Mathlib.Topology.Algebra.Module.Star

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 9 + 471

`topology.algebra.module.star` ⟷ `Mathlib.Topology.Algebra.Module.Star`