algebra.star.module | Mathlib porting status

(last sync)

feat(topology/algebra/module/star): continuity results for star_modules (#19037)

Notably this adds starL.

This also fixes some unnecessary typeclass arguments in star_linear_equiv.

Co-authored-by: ADedecker <anatolededecker@gmail.com>

Diff

@@ -63,7 +63,8 @@ end smul_lemmas
 then `star` is a semilinear equivalence. -/
 @[simps]
 def star_linear_equiv (R : Type*) {A : Type*}
-  [comm_ring R] [star_ring R] [semiring A] [star_ring A] [module R A] [star_module R A]  :
+  [comm_semiring R] [star_ring R] [add_comm_monoid A] [star_add_monoid A] [module R A]
+  [star_module R A] :
     A ≃ₗ⋆[R] A :=
 { to_fun := star,
   map_smul' := star_smul,

chore(algebra): generalize typeclass arguments from field to semifield (#18597)

This generalizes some typeclass arguments from field to semifield and division_ring to division_semiring.

The proof for map_inv_nat_cast_smul had to be rewritten, as it was previously proved in terms of map_inv_int_cast_smul. The latter is now instead proved in terms of the former.

Forward-ported in https://github.com/leanprover-community/mathlib4/pull/2926

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

Diff

@@ -33,22 +33,22 @@ This file also provides some lemmas that need `algebra.module.basic` imported to
 section smul_lemmas
 variables {R M : Type*}
 
+@[simp] lemma star_nat_cast_smul [semiring R] [add_comm_monoid M] [module R M] [star_add_monoid M]
+  (n : ℕ) (x : M) : star ((n : R) • x) = (n : R) • star x :=
+map_nat_cast_smul (star_add_equiv : M ≃+ M) R R n x
+
 @[simp] lemma star_int_cast_smul [ring R] [add_comm_group M] [module R M] [star_add_monoid M]
   (n : ℤ) (x : M) : star ((n : R) • x) = (n : R) • star x :=
 map_int_cast_smul (star_add_equiv : M ≃+ M) R R n x
 
-@[simp] lemma star_nat_cast_smul [semiring R] [add_comm_monoid M] [module R M] [star_add_monoid M]
-  (n : ℕ) (x : M) : star ((n : R) • x) = (n : R) • star x :=
-map_nat_cast_smul (star_add_equiv : M ≃+ M) R R n x
+@[simp] lemma star_inv_nat_cast_smul [division_semiring R] [add_comm_monoid M] [module R M]
+  [star_add_monoid M] (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
+map_inv_nat_cast_smul (star_add_equiv : M ≃+ M) R R n x
 
 @[simp] lemma star_inv_int_cast_smul [division_ring R] [add_comm_group M] [module R M]
   [star_add_monoid M] (n : ℤ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
 map_inv_int_cast_smul (star_add_equiv : M ≃+ M) R R n x
 
-@[simp] lemma star_inv_nat_cast_smul [division_ring R] [add_comm_group M] [module R M]
-  [star_add_monoid M] (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-map_inv_nat_cast_smul (star_add_equiv : M ≃+ M) R R n x
-
 @[simp] lemma star_rat_cast_smul [division_ring R] [add_comm_group M] [module R M]
   [star_add_monoid M] (n : ℚ) (x : M) : star ((n : R) • x) = (n : R) • star x :=
 map_rat_cast_smul (star_add_equiv : M ≃+ M) _ _ _ x

671d5d9a

feat(algebra/star/self_adjoint): add and generalize trivial lemmas (#18558)

This:

Generalizes is_self_adjoint.smul, which makes it easier to show that 0.5 • x is self-adjoint when x is, even if 0.5 is a complex number.
Generalizes is_self_adjoint.add to match matrix.is_hermitian.add (for a later refactor), along with many other lemmas.
Removes re-proofs of star_nat_cast and star_int_cast.

The first is motivated by showing that exp K m for some matrix m is positive definite if is_self_adjoint m.

Forward-ported at https://github.com/leanprover-community/mathlib4/pull/2719.

Diff

@@ -75,7 +75,7 @@ variables (R : Type*) (A : Type*)
 
 /-- The self-adjoint elements of a star module, as a submodule. -/
 def self_adjoint.submodule : submodule R A :=
-{ smul_mem' := is_self_adjoint.smul,
+{ smul_mem' := λ r x, (is_self_adjoint.all _).smul,
   ..self_adjoint A }
 
 /-- The skew-adjoint elements of a star module, as a submodule. -/

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-19-08

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

a9e81450

Diff

@@ -37,44 +37,44 @@ section SmulLemmas
 
 variable {R M : Type _}
 
-#print star_nat_cast_smul /-
+#print star_natCast_smul /-
 @[simp]
-theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
+theorem star_natCast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_nat_cast_smul star_nat_cast_smul
+  map_natCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_nat_cast_smul star_natCast_smul
 -/
 
-#print star_int_cast_smul /-
+#print star_intCast_smul /-
 @[simp]
-theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
-    (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_int_cast_smul star_int_cast_smul
+theorem star_intCast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ) (x : M) :
+    star ((n : R) • x) = (n : R) • star x :=
+  map_intCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_int_cast_smul star_intCast_smul
 -/
 
-#print star_inv_nat_cast_smul /-
+#print star_inv_natCast_smul /-
 @[simp]
-theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
+theorem star_inv_natCast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
     (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-  map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_inv_nat_cast_smul star_inv_nat_cast_smul
+  map_inv_natCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_inv_nat_cast_smul star_inv_natCast_smul
 -/
 
-#print star_inv_int_cast_smul /-
+#print star_inv_intCast_smul /-
 @[simp]
-theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
+theorem star_inv_intCast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
     (n : ℤ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-  map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_inv_int_cast_smul star_inv_int_cast_smul
+  map_inv_intCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_inv_int_cast_smul star_inv_intCast_smul
 -/
 
-#print star_rat_cast_smul /-
+#print star_ratCast_smul /-
 @[simp]
-theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
+theorem star_ratCast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_rat_cast_smul (starAddEquiv : M ≃+ M) _ _ _ x
-#align star_rat_cast_smul star_rat_cast_smul
+  map_ratCast_smul (starAddEquiv : M ≃+ M) _ _ _ x
+#align star_rat_cast_smul star_ratCast_smul
 -/
 
 #print star_rat_smul /-

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) 2021 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.SelfAdjoint
-import Mathbin.Algebra.Module.Equiv
-import Mathbin.LinearAlgebra.Prod
+import Algebra.Star.SelfAdjoint
+import Algebra.Module.Equiv
+import LinearAlgebra.Prod
 
 #align_import algebra.star.module from "leanprover-community/mathlib"@"aa6669832974f87406a3d9d70fc5707a60546207"

bump to nightly-2023-09-02-06

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

a4ca67cb

Diff

@@ -99,7 +99,7 @@ def starLinearEquiv (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [Add
 #align star_linear_equiv starLinearEquiv
 -/
 
-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]
 
 #print selfAdjoint.submodule /-
@@ -174,9 +174,8 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 
 #print algebraMap_star_comm /-
 @[simp]
-theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]
-    [StarSemigroup A] [Algebra R A] [StarModule R A] (r : R) :
-    algebraMap R A (star r) = star (algebraMap R A r) := by
+theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A] [StarMul A]
+    [Algebra R A] [StarModule R A] (r : R) : algebraMap R A (star r) = star (algebraMap R A r) := by
   simp only [Algebra.algebraMap_eq_smul_one, star_smul, star_one]
 #align algebra_map_star_comm algebraMap_star_comm
 -/

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) 2021 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 algebra.star.module
-! leanprover-community/mathlib commit aa6669832974f87406a3d9d70fc5707a60546207
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Star.SelfAdjoint
 import Mathbin.Algebra.Module.Equiv
 import Mathbin.LinearAlgebra.Prod
 
+#align_import algebra.star.module from "leanprover-community/mathlib"@"aa6669832974f87406a3d9d70fc5707a60546207"
+
 /-!
 # The star operation, bundled as a star-linear equiv

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -40,35 +40,45 @@ section SmulLemmas
 
 variable {R M : Type _}
 
+#print star_nat_cast_smul /-
 @[simp]
 theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_nat_cast_smul star_nat_cast_smul
+-/
 
+#print star_int_cast_smul /-
 @[simp]
 theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_int_cast_smul star_int_cast_smul
+-/
 
+#print star_inv_nat_cast_smul /-
 @[simp]
 theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
     (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
   map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_nat_cast_smul star_inv_nat_cast_smul
+-/
 
+#print star_inv_int_cast_smul /-
 @[simp]
 theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
     (n : ℤ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
   map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_int_cast_smul star_inv_int_cast_smul
+-/
 
+#print star_rat_cast_smul /-
 @[simp]
 theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_rat_cast_smul (starAddEquiv : M ≃+ M) _ _ _ x
 #align star_rat_cast_smul star_rat_cast_smul
+-/
 
 #print star_rat_smul /-
 @[simp]
@@ -111,6 +121,7 @@ def skewAdjoint.submodule : Submodule R A :=
 
 variable {A} [Invertible (2 : R)]
 
+#print selfAdjointPart /-
 /-- The self-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
 def selfAdjointPart : A →ₗ[R] selfAdjoint A
@@ -123,7 +134,9 @@ def selfAdjointPart : A →ₗ[R] selfAdjoint A
   map_smul' r x := by ext;
     simp [← mul_smul, show ⅟ 2 * r = r * ⅟ 2 from Commute.invOf_left (Commute.one_left r).bit0_left]
 #align self_adjoint_part selfAdjointPart
+-/
 
+#print skewAdjointPart /-
 /-- The skew-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
 def skewAdjointPart : A →ₗ[R] skewAdjoint A
@@ -139,15 +152,19 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
     simp [← mul_smul, ← smul_sub,
       show r * ⅟ 2 = ⅟ 2 * r from Commute.invOf_right (Commute.one_right r).bit0_right]
 #align skew_adjoint_part skewAdjointPart
+-/
 
+#print StarModule.selfAdjointPart_add_skewAdjointPart /-
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
   simp only [smul_sub, selfAdjointPart_apply_coe, smul_add, skewAdjointPart_apply_coe,
     add_add_sub_cancel, invOf_two_smul_add_invOf_two_smul]
 #align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPart
+-/
 
 variable (A)
 
+#print StarModule.decomposeProdAdjoint /-
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a linear equivalence. -/
 @[simps]
@@ -156,11 +173,14 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
     ((selfAdjoint.submodule R A).Subtype.coprod (skewAdjoint.submodule R A).Subtype)
     (by ext <;> simp) (LinearMap.ext <| StarModule.selfAdjointPart_add_skewAdjointPart R)
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
+-/
 
+#print algebraMap_star_comm /-
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]
     [StarSemigroup A] [Algebra R A] [StarModule R A] (r : R) :
     algebraMap R A (star r) = star (algebraMap R A r) := by
   simp only [Algebra.algebraMap_eq_smul_one, star_smul, star_one]
 #align algebra_map_star_comm algebraMap_star_comm
+-/

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -40,60 +40,30 @@ section SmulLemmas
 
 variable {R M : Type _}
 
-/- warning: star_nat_cast_smul -> star_nat_cast_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_nat_cast_smul star_nat_cast_smulₓ'. -/
 @[simp]
 theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_nat_cast_smul star_nat_cast_smul
 
-/- warning: star_int_cast_smul -> star_int_cast_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1)))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1)))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Ring.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Int) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Int.cast.{u2} R (Ring.toIntCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Int.cast.{u2} R (Ring.toIntCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_int_cast_smul star_int_cast_smulₓ'. -/
 @[simp]
 theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_int_cast_smul star_int_cast_smul
 
-/- warning: star_inv_nat_cast_smul -> star_inv_nat_cast_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionSemiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R _inst_1) _inst_2] [_inst_4 : StarAddMonoid.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R _inst_1) _inst_2 _inst_3))))) (Inv.inv.{u2} R (DivisionSemiring.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R _inst_1) _inst_2 _inst_3))))) (Inv.inv.{u2} R (DivisionSemiring.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_inv_nat_cast_smul star_inv_nat_cast_smulₓ'. -/
 @[simp]
 theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
     (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
   map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_nat_cast_smul star_inv_nat_cast_smul
 
-/- warning: star_inv_int_cast_smul -> star_inv_int_cast_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Int) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Int.cast.{u2} R (Ring.toIntCast.{u2} R (DivisionRing.toRing.{u2} R _inst_1)) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Int.cast.{u2} R (Ring.toIntCast.{u2} R (DivisionRing.toRing.{u2} R _inst_1)) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_inv_int_cast_smul star_inv_int_cast_smulₓ'. -/
 @[simp]
 theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
     (n : ℤ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
   map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_int_cast_smul star_inv_int_cast_smul
 
-/- warning: star_rat_cast_smul -> star_rat_cast_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Rat.cast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Rat.cast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_rat_cast_smul star_rat_cast_smulₓ'. -/
 @[simp]
 theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
@@ -141,12 +111,6 @@ def skewAdjoint.submodule : Submodule R A :=
 
 variable {A} [Invertible (2 : R)]
 
-/- warning: self_adjoint_part -> 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))))))))], 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)
-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)))))], 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)
-Case conversion may be inaccurate. Consider using '#align self_adjoint_part selfAdjointPartₓ'. -/
 /-- The self-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
 def selfAdjointPart : A →ₗ[R] selfAdjoint A
@@ -160,12 +124,6 @@ def selfAdjointPart : A →ₗ[R] selfAdjoint A
     simp [← mul_smul, show ⅟ 2 * r = r * ⅟ 2 from Commute.invOf_left (Commute.one_left r).bit0_left]
 #align self_adjoint_part selfAdjointPart
 
-/- warning: skew_adjoint_part -> 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))))))))], 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)
-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)))))], 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)
-Case conversion may be inaccurate. Consider using '#align skew_adjoint_part skewAdjointPartₓ'. -/
 /-- The skew-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
 def skewAdjointPart : A →ₗ[R] skewAdjoint A
@@ -182,9 +140,6 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
       show r * ⅟ 2 = ⅟ 2 * r from Commute.invOf_right (Commute.one_right r).bit0_right]
 #align skew_adjoint_part skewAdjointPart
 
-/- warning: star_module.self_adjoint_part_add_skew_adjoint_part -> StarModule.selfAdjointPart_add_skewAdjointPart is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPartₓ'. -/
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
   simp only [smul_sub, selfAdjointPart_apply_coe, smul_add, skewAdjointPart_apply_coe,
@@ -193,9 +148,6 @@ theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
 
 variable (A)
 
-/- warning: star_module.decompose_prod_adjoint -> StarModule.decomposeProdAdjoint is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjointₓ'. -/
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a linear equivalence. -/
 @[simps]
@@ -205,9 +157,6 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
     (by ext <;> simp) (LinearMap.ext <| StarModule.selfAdjointPart_add_skewAdjointPart R)
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
-/- warning: algebra_map_star_comm -> algebraMap_star_comm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebra_map_star_comm algebraMap_star_commₓ'. -/
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]
     [StarSemigroup A] [Algebra R A] [StarModule R A] (r : R) :

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -155,11 +155,8 @@ def selfAdjointPart : A →ₗ[R] selfAdjoint A
     ⟨(⅟ 2 : R) • (x + star x), by
       simp only [selfAdjoint.mem_iff, star_smul, add_comm, StarAddMonoid.star_add, star_inv',
         star_bit0, star_one, star_star, star_invOf (2 : R), star_trivial]⟩
-  map_add' x y := by
-    ext
-    simp [add_add_add_comm]
-  map_smul' r x := by
-    ext
+  map_add' x y := by ext; simp [add_add_add_comm]
+  map_smul' r x := by ext;
     simp [← mul_smul, show ⅟ 2 * r = r * ⅟ 2 from Commute.invOf_left (Commute.one_left r).bit0_left]
 #align self_adjoint_part selfAdjointPart
 
@@ -177,12 +174,10 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
     ⟨(⅟ 2 : R) • (x - star x), by
       simp only [skewAdjoint.mem_iff, star_smul, star_sub, star_star, star_trivial, ← smul_neg,
         neg_sub]⟩
-  map_add' x y := by
-    ext
+  map_add' x y := by ext;
     simp only [sub_add, ← smul_add, sub_sub_eq_add_sub, star_add, AddSubgroup.coe_mk,
       AddSubgroup.coe_add]
-  map_smul' r x := by
-    ext
+  map_smul' r x := by ext;
     simp [← mul_smul, ← smul_sub,
       show r * ⅟ 2 = ⅟ 2 * r from Commute.invOf_right (Commute.one_right r).bit0_right]
 #align skew_adjoint_part skewAdjointPart

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -188,10 +188,7 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
 #align skew_adjoint_part skewAdjointPart
 
 /- warning: star_module.self_adjoint_part_add_skew_adjoint_part -> StarModule.selfAdjointPart_add_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))))))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x))) x
-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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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) x))) x
+<too large>
 Case conversion may be inaccurate. Consider using '#align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPartₓ'. -/
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
@@ -202,10 +199,7 @@ theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
 variable (A)
 
 /- warning: star_module.decompose_prod_adjoint -> StarModule.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))))))))], 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} (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} A _inst_4) (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)))))], 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 _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_adjoint StarModule.decomposeProdAdjointₓ'. -/
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a linear equivalence. -/
@@ -217,10 +211,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
 /- warning: algebra_map_star_comm -> algebraMap_star_comm is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_9 : CommSemiring.{u1} R] [_inst_10 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))] [_inst_11 : Semiring.{u2} A] [_inst_12 : StarSemigroup.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11)))] [_inst_13 : Algebra.{u1, u2} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11))) (Algebra.toModule.{u1, u2} R A _inst_9 _inst_11 _inst_13)))))] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) r)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) r))
-but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra_map_star_comm algebraMap_star_commₓ'. -/
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -191,7 +191,7 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
 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))))))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x))) x
 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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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) x))) x
+  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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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) x))) x
 Case conversion may be inaccurate. Consider using '#align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPartₓ'. -/
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by

bump to nightly-2023-05-20-03

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

0efc566e

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 algebra.star.module
-! leanprover-community/mathlib commit 30413fc89f202a090a54d78e540963ed3de0056e
+! leanprover-community/mathlib commit aa6669832974f87406a3d9d70fc5707a60546207
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -110,21 +110,17 @@ theorem star_rat_smul {R : Type _} [AddCommGroup R] [StarAddMonoid R] [Module 
 
 end SmulLemmas
 
-/- warning: star_linear_equiv -> starLinearEquiv is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R _inst_1)))] [_inst_3 : Semiring.{u2} A] [_inst_4 : StarRing.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_3)] [_inst_5 : Module.{u1, u2} R A (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))] [_inst_6 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R _inst_1))) _inst_2))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_3)))) (StarRing.toStarAddMonoid.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_3) _inst_4))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) _inst_5))))], LinearEquiv.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (starRingEnd.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) _inst_2) (starRingEnd.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) _inst_2) (starLinearEquiv._proof_1.{u1} R _inst_1 _inst_2) (starLinearEquiv._proof_2.{u1} R _inst_1 _inst_2) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) _inst_5 _inst_5
-but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] [_inst_3 : AddCommMonoid.{u2} A] [_inst_4 : StarAddMonoid.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)] [_inst_5 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_6 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1)) _inst_2))) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3) _inst_4)) (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 _inst_5))))], LinearEquiv.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (starRingEnd.{u1} R _inst_1 _inst_2) (starRingEnd.{u1} R _inst_1 _inst_2) (RingHomInvPair.instRingHomInvPairToSemiringStarRingEnd.{u1} R _inst_1 _inst_2) (RingHomInvPair.instRingHomInvPairToSemiringStarRingEnd.{u1} R _inst_1 _inst_2) A A _inst_3 _inst_3 _inst_5 _inst_5
-Case conversion may be inaccurate. Consider using '#align star_linear_equiv starLinearEquivₓ'. -/
+#print starLinearEquiv /-
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/
 @[simps]
-def starLinearEquiv (R : Type _) {A : Type _} [CommRing R] [StarRing R] [Semiring A] [StarRing A]
-    [Module R A] [StarModule R A] : A ≃ₗ⋆[R] A :=
+def starLinearEquiv (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid A]
+    [StarAddMonoid A] [Module R A] [StarModule R A] : A ≃ₗ⋆[R] A :=
   { starAddEquiv with
     toFun := star
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
+-/
 
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A]

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -224,7 +224,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_9 : CommSemiring.{u1} R] [_inst_10 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))] [_inst_11 : Semiring.{u2} A] [_inst_12 : StarSemigroup.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11)))] [_inst_13 : Algebra.{u1, u2} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11))) (Algebra.toModule.{u1, u2} R A _inst_9 _inst_11 _inst_13)))))] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) r)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) r))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
 Case conversion may be inaccurate. Consider using '#align algebra_map_star_comm algebraMap_star_commₓ'. -/
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]

bump to nightly-2023-05-19-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

65ed2fb2

Diff

@@ -110,7 +110,12 @@ theorem star_rat_smul {R : Type _} [AddCommGroup R] [StarAddMonoid R] [Module 
 
 end SmulLemmas
 
-#print starLinearEquiv /-
+/- warning: star_linear_equiv -> starLinearEquiv is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R _inst_1)))] [_inst_3 : Semiring.{u2} A] [_inst_4 : StarRing.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_3)] [_inst_5 : Module.{u1, u2} R A (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))] [_inst_6 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R _inst_1))) _inst_2))) (InvolutiveStar.toHasStar.{u2} A (StarAddMonoid.toHasInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_3)))) (StarRing.toStarAddMonoid.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_3) _inst_4))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) _inst_5))))], LinearEquiv.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (starRingEnd.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) _inst_2) (starRingEnd.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) _inst_2) (starLinearEquiv._proof_1.{u1} R _inst_1 _inst_2) (starLinearEquiv._proof_2.{u1} R _inst_1 _inst_2) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) _inst_5 _inst_5
+but is expected to have type
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] [_inst_3 : AddCommMonoid.{u2} A] [_inst_4 : StarAddMonoid.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)] [_inst_5 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_6 : StarModule.{u1, u2} R A (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1)) _inst_2))) (InvolutiveStar.toStar.{u2} A (StarAddMonoid.toInvolutiveStar.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3) _inst_4)) (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A _inst_3)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 _inst_5))))], LinearEquiv.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (starRingEnd.{u1} R _inst_1 _inst_2) (starRingEnd.{u1} R _inst_1 _inst_2) (RingHomInvPair.instRingHomInvPairToSemiringStarRingEnd.{u1} R _inst_1 _inst_2) (RingHomInvPair.instRingHomInvPairToSemiringStarRingEnd.{u1} R _inst_1 _inst_2) A A _inst_3 _inst_3 _inst_5 _inst_5
+Case conversion may be inaccurate. Consider using '#align star_linear_equiv starLinearEquivₓ'. -/
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/
 @[simps]
@@ -120,7 +125,6 @@ def starLinearEquiv (R : Type _) {A : Type _} [CommRing R] [StarRing R] [Semirin
     toFun := star
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
--/
 
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A]

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Diff

@@ -191,7 +191,7 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
 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))))))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x))) x
 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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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.6190 : 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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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.6190 : 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) x))) x
+  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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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) x))) x
 Case conversion may be inaccurate. Consider using '#align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPartₓ'. -/
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by

bump to nightly-2023-04-09-10

mathlib commit https://github.com/leanprover-community/mathlib/commit/284fdd2962e67d2932fa3a79ce19fcf92d38e228

0c8ead1e

Diff

@@ -196,7 +196,7 @@ Case conversion may be inaccurate. Consider using '#align star_module.self_adjoi
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
   simp only [smul_sub, selfAdjointPart_apply_coe, smul_add, skewAdjointPart_apply_coe,
-    add_add_sub_cancel, inv_of_two_smul_add_inv_of_two_smul]
+    add_add_sub_cancel, invOf_two_smul_add_invOf_two_smul]
 #align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPart
 
 variable (A)

bump to nightly-2023-03-27-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

0e4ebd8c

Diff

@@ -54,7 +54,7 @@ theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddM
 
 /- warning: star_int_cast_smul -> star_int_cast_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1)))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1)))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Ring.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Int) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Int.cast.{u2} R (Ring.toIntCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Int.cast.{u2} R (Ring.toIntCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
 Case conversion may be inaccurate. Consider using '#align star_int_cast_smul star_int_cast_smulₓ'. -/
@@ -78,7 +78,7 @@ theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R
 
 /- warning: star_inv_int_cast_smul -> star_inv_int_cast_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Int) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Int.cast.{u2} R (Ring.toIntCast.{u2} R (DivisionRing.toRing.{u2} R _inst_1)) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Int.cast.{u2} R (Ring.toIntCast.{u2} R (DivisionRing.toRing.{u2} R _inst_1)) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
 Case conversion may be inaccurate. Consider using '#align star_inv_int_cast_smul star_inv_int_cast_smulₓ'. -/

bump to nightly-2023-03-27-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

b24549cf

Diff

@@ -68,7 +68,7 @@ theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionSemiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R _inst_1) _inst_2] [_inst_4 : StarAddMonoid.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R _inst_1) _inst_2 _inst_3))))) (Inv.inv.{u2} R (DivisionSemiring.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R _inst_1) _inst_2 _inst_3))))) (Inv.inv.{u2} R (DivisionSemiring.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (DivisionSemiring.toSemiring.{u2} R _inst_1)) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) x))
 Case conversion may be inaccurate. Consider using '#align star_inv_nat_cast_smul star_inv_nat_cast_smulₓ'. -/
 @[simp]
 theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]

bump to nightly-2023-03-18-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/02ba8949f486ebecf93fe7460f1ed0564b5e442c

24261a71

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 algebra.star.module
-! leanprover-community/mathlib commit 671d5d9a0cca76de2933cff8ee3c29b7533f9caf
+! leanprover-community/mathlib commit 30413fc89f202a090a54d78e540963ed3de0056e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -40,6 +40,18 @@ section SmulLemmas
 
 variable {R M : Type _}
 
+/- warning: star_nat_cast_smul -> star_nat_cast_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_nat_cast_smul star_nat_cast_smulₓ'. -/
+@[simp]
+theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
+    (x : M) : star ((n : R) • x) = (n : R) • star x :=
+  map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_nat_cast_smul star_nat_cast_smul
+
 /- warning: star_int_cast_smul -> star_int_cast_smul is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
@@ -52,17 +64,17 @@ theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid
   map_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_int_cast_smul star_int_cast_smul
 
-/- warning: star_nat_cast_smul -> star_nat_cast_smul is a dubious translation:
+/- warning: star_inv_nat_cast_smul -> star_inv_nat_cast_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (DivisionSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_nat_cast_smul star_nat_cast_smulₓ'. -/
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_inv_nat_cast_smul star_inv_nat_cast_smulₓ'. -/
 @[simp]
-theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
-    (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_nat_cast_smul star_nat_cast_smul
+theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
+    (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
+  map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_inv_nat_cast_smul star_inv_nat_cast_smul
 
 /- warning: star_inv_int_cast_smul -> star_inv_int_cast_smul is a dubious translation:
 lean 3 declaration is
@@ -76,18 +88,6 @@ theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [S
   map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_int_cast_smul star_inv_int_cast_smul
 
-/- warning: star_inv_nat_cast_smul -> star_inv_nat_cast_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
-but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
-Case conversion may be inaccurate. Consider using '#align star_inv_nat_cast_smul star_inv_nat_cast_smulₓ'. -/
-@[simp]
-theorem star_inv_nat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
-    (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-  map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_inv_nat_cast_smul star_inv_nat_cast_smul
-
 /- warning: star_rat_cast_smul -> star_rat_cast_smul is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))

671d5d9a

bump to nightly-2023-03-11-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

a8ee822f

Diff

@@ -92,7 +92,7 @@ theorem star_inv_nat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [S
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (RatCast.ratCast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (RatCast.ratCast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Rat.cast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Rat.cast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
 Case conversion may be inaccurate. Consider using '#align star_rat_cast_smul star_rat_cast_smulₓ'. -/
 @[simp]
 theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
@@ -191,7 +191,7 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
 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))))))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x))) x
 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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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.6178 : 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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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.6178 : 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) x))) x
+  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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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.6190 : 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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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.6190 : 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) x))) x
 Case conversion may be inaccurate. Consider using '#align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPartₓ'. -/
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
@@ -220,7 +220,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_9 : CommSemiring.{u1} R] [_inst_10 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))] [_inst_11 : Semiring.{u2} A] [_inst_12 : StarSemigroup.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11)))] [_inst_13 : Algebra.{u1, u2} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11))) (Algebra.toModule.{u1, u2} R A _inst_9 _inst_11 _inst_13)))))] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) r)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) r))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
 Case conversion may be inaccurate. Consider using '#align algebra_map_star_comm algebraMap_star_commₓ'. -/
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]

671d5d9a

bump to nightly-2023-03-09-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

061741a1

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 algebra.star.module
-! leanprover-community/mathlib commit 09d7fe375d1f63d17cf6b2aa4b413ab3e6ec49df
+! leanprover-community/mathlib commit 671d5d9a0cca76de2933cff8ee3c29b7533f9caf
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.LinearAlgebra.Prod
 /-!
 # The star operation, bundled as a star-linear equiv
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define `star_linear_equiv`, which is the star operation bundled as a star-linear map.
 It is defined on a star algebra `A` over the base ring `R`.
 
@@ -125,7 +128,7 @@ variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R
 #print selfAdjoint.submodule /-
 /-- The self-adjoint elements of a star module, as a submodule. -/
 def selfAdjoint.submodule : Submodule R A :=
-  { selfAdjoint A with smul_mem' := IsSelfAdjoint.smul }
+  { selfAdjoint A with smul_mem' := fun r x => (IsSelfAdjoint.all _).smul }
 #align self_adjoint.submodule selfAdjoint.submodule
 -/

bump to nightly-2023-03-08-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

10f15343

Diff

@@ -217,7 +217,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_9 : CommSemiring.{u1} R] [_inst_10 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))] [_inst_11 : Semiring.{u2} A] [_inst_12 : StarSemigroup.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11)))] [_inst_13 : Algebra.{u1, u2} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11))) (Algebra.toModule.{u1, u2} R A _inst_9 _inst_11 _inst_13)))))] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) r)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) r))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
 Case conversion may be inaccurate. Consider using '#align algebra_map_star_comm algebraMap_star_commₓ'. -/
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]

bump to nightly-2023-03-07-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/3b267e70a936eebb21ab546f49a8df34dd300b25

e067364a

Diff

@@ -37,44 +37,77 @@ section SmulLemmas
 
 variable {R M : Type _}
 
+/- warning: star_int_cast_smul -> star_int_cast_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R _inst_1) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Ring.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Int) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Int.cast.{u2} R (Ring.toIntCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_1)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R _inst_1) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Int.cast.{u2} R (Ring.toIntCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_int_cast_smul star_int_cast_smulₓ'. -/
 @[simp]
 theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_int_cast_smul star_int_cast_smul
 
+/- warning: star_nat_cast_smul -> star_nat_cast_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M _inst_1 _inst_2 _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2) _inst_4)) x))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : AddCommMonoid.{u1} M] [_inst_3 : Module.{u2, u1} R M _inst_1 _inst_2] [_inst_4 : StarAddMonoid.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2)) (Module.toMulActionWithZero.{u2, u1} R M _inst_1 _inst_2 _inst_3))))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (AddCommMonoid.toAddMonoid.{u1} M _inst_2) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_nat_cast_smul star_nat_cast_smulₓ'. -/
 @[simp]
 theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_nat_cast_smul star_nat_cast_smul
 
+/- warning: star_inv_int_cast_smul -> star_inv_int_cast_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Int) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int R (HasLiftT.mk.{1, succ u1} Int R (CoeTCₓ.coe.{1, succ u1} Int R (Int.castCoe.{u1} R (AddGroupWithOne.toHasIntCast.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Int) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Int.cast.{u2} R (Ring.toIntCast.{u2} R (DivisionRing.toRing.{u2} R _inst_1)) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Int.cast.{u2} R (Ring.toIntCast.{u2} R (DivisionRing.toRing.{u2} R _inst_1)) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_inv_int_cast_smul star_inv_int_cast_smulₓ'. -/
 @[simp]
 theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
     (n : ℤ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
   map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_int_cast_smul star_inv_int_cast_smul
 
+/- warning: star_inv_nat_cast_smul -> star_inv_nat_cast_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Nat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))))) n)) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))))) n)) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Nat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (Inv.inv.{u2} R (DivisionRing.toInv.{u2} R _inst_1) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (DivisionRing.toRing.{u2} R _inst_1))) n)) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_inv_nat_cast_smul star_inv_nat_cast_smulₓ'. -/
 @[simp]
 theorem star_inv_nat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
     (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
   map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_nat_cast_smul star_inv_nat_cast_smul
 
+/- warning: star_rat_cast_smul -> star_rat_cast_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : AddCommGroup.{u2} M] [_inst_3 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)] [_inst_4 : StarAddMonoid.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u2} M (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) x)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (DivisionRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_2) _inst_3)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat R (HasLiftT.mk.{1, succ u1} Rat R (CoeTCₓ.coe.{1, succ u1} Rat R (Rat.castCoe.{u1} R (DivisionRing.toHasRatCast.{u1} R _inst_1)))) n) (Star.star.{u2} M (InvolutiveStar.toHasStar.{u2} M (StarAddMonoid.toHasInvolutiveStar.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_2))) _inst_4)) x))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : DivisionRing.{u2} R] [_inst_2 : AddCommGroup.{u1} M] [_inst_3 : Module.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2)] [_inst_4 : StarAddMonoid.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2)))] (n : Rat) (x : M), Eq.{succ u1} M (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (RatCast.ratCast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) x)) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R M (DivisionSemiring.toSemiring.{u2} R (DivisionRing.toDivisionSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_2) _inst_3))))) (RatCast.ratCast.{u2} R (DivisionRing.toRatCast.{u2} R _inst_1) n) (Star.star.{u1} M (InvolutiveStar.toStar.{u1} M (StarAddMonoid.toInvolutiveStar.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_2))) _inst_4)) x))
+Case conversion may be inaccurate. Consider using '#align star_rat_cast_smul star_rat_cast_smulₓ'. -/
 @[simp]
 theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
   map_rat_cast_smul (starAddEquiv : M ≃+ M) _ _ _ x
 #align star_rat_cast_smul star_rat_cast_smul
 
+#print star_rat_smul /-
 @[simp]
 theorem star_rat_smul {R : Type _} [AddCommGroup R] [StarAddMonoid R] [Module ℚ R] (x : R) (n : ℚ) :
     star (n • x) = n • star x :=
   map_rat_smul (starAddEquiv : R ≃+ R) _ _
 #align star_rat_smul star_rat_smul
+-/
 
 end SmulLemmas
 
+#print starLinearEquiv /-
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/
 @[simps]
@@ -84,22 +117,33 @@ def starLinearEquiv (R : Type _) {A : Type _} [CommRing R] [StarRing R] [Semirin
     toFun := star
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
+-/
 
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A]
 
+#print selfAdjoint.submodule /-
 /-- The self-adjoint elements of a star module, as a submodule. -/
 def selfAdjoint.submodule : Submodule R A :=
   { selfAdjoint A with smul_mem' := IsSelfAdjoint.smul }
 #align self_adjoint.submodule selfAdjoint.submodule
+-/
 
+#print skewAdjoint.submodule /-
 /-- The skew-adjoint elements of a star module, as a submodule. -/
 def skewAdjoint.submodule : Submodule R A :=
   { skewAdjoint A with smul_mem' := skewAdjoint.smul_mem }
 #align skew_adjoint.submodule skewAdjoint.submodule
+-/
 
 variable {A} [Invertible (2 : R)]
 
+/- warning: self_adjoint_part -> 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))))))))], 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)
+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)))))], 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)
+Case conversion may be inaccurate. Consider using '#align self_adjoint_part selfAdjointPartₓ'. -/
 /-- The self-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
 def selfAdjointPart : A →ₗ[R] selfAdjoint A
@@ -116,6 +160,12 @@ def selfAdjointPart : A →ₗ[R] selfAdjoint A
     simp [← mul_smul, show ⅟ 2 * r = r * ⅟ 2 from Commute.invOf_left (Commute.one_left r).bit0_left]
 #align self_adjoint_part selfAdjointPart
 
+/- warning: skew_adjoint_part -> 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))))))))], 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)
+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)))))], 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)
+Case conversion may be inaccurate. Consider using '#align skew_adjoint_part skewAdjointPartₓ'. -/
 /-- The skew-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
 def skewAdjointPart : A →ₗ[R] skewAdjoint A
@@ -134,6 +184,12 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
       show r * ⅟ 2 = ⅟ 2 * r from Commute.invOf_right (Commute.one_right r).bit0_right]
 #align skew_adjoint_part skewAdjointPart
 
+/- warning: star_module.self_adjoint_part_add_skew_adjoint_part -> StarModule.selfAdjointPart_add_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))))))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (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)) A (HasLiftT.mk.{succ u2, succ 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)) A (CoeTCₓ.coe.{succ u2, succ 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)) A (coeBase.{succ u2, succ 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)) A (coeSubtype.{succ 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)))))) (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) x))) x
+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)))))] (x : A), Eq.{succ u2} A (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (SubNegMonoid.toAddMonoid.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)))))) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (selfAdjoint.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4) _inst_6))) (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.6178 : 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) x)) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (AddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) A (AddSubgroup.instSetLikeAddSubgroup.{u2} A (AddCommGroup.toAddGroup.{u2} A _inst_4)) (skewAdjoint.{u2} A _inst_4 _inst_6))) (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.6178 : 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) x))) x
+Case conversion may be inaccurate. Consider using '#align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPartₓ'. -/
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
   simp only [smul_sub, selfAdjointPart_apply_coe, smul_add, skewAdjointPart_apply_coe,
@@ -142,6 +198,12 @@ theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
 
 variable (A)
 
+/- warning: star_module.decompose_prod_adjoint -> StarModule.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))))))))], 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} (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} A _inst_4) (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)))))], 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 _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_adjoint StarModule.decomposeProdAdjointₓ'. -/
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a linear equivalence. -/
 @[simps]
@@ -151,6 +213,12 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
     (by ext <;> simp) (LinearMap.ext <| StarModule.selfAdjointPart_add_skewAdjointPart R)
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
+/- warning: algebra_map_star_comm -> algebraMap_star_comm is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_9 : CommSemiring.{u1} R] [_inst_10 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))] [_inst_11 : Semiring.{u2} A] [_inst_12 : StarSemigroup.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11)))] [_inst_13 : Algebra.{u1, u2} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u1, u2} R A (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_9) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_11))) (Algebra.toModule.{u1, u2} R A _inst_9 _inst_11 _inst_13)))))] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_9)) _inst_10))) r)) (Star.star.{u2} A (InvolutiveStar.toHasStar.{u2} A (StarSemigroup.toHasInvolutiveStar.{u2} A (SemigroupWithZero.toSemigroup.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A (Semiring.toNonUnitalSemiring.{u2} A _inst_11))) _inst_12)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_9)) (Semiring.toNonAssocSemiring.{u2} A _inst_11)) (algebraMap.{u1, u2} R A _inst_9 _inst_11 _inst_13) r))
+but is expected to have type
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_9 : CommSemiring.{u2} R] [_inst_10 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9))] [_inst_11 : Semiring.{u1} A] [_inst_12 : StarSemigroup.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11)))] [_inst_13 : Algebra.{u2, u1} R A _inst_9 _inst_11] [_inst_14 : StarModule.{u2, u1} R A (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) (InvolutiveStar.toStar.{u1} A (StarSemigroup.toInvolutiveStar.{u1} A (SemigroupWithZero.toSemigroup.{u1} A (NonUnitalSemiring.toSemigroupWithZero.{u1} A (Semiring.toNonUnitalSemiring.{u1} A _inst_11))) _inst_12)) (Algebra.toSMul.{u2, u1} R A _inst_9 _inst_11 _inst_13)] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) (Star.star.{u2} R (InvolutiveStar.toStar.{u2} R (StarAddMonoid.toInvolutiveStar.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))))) (StarRing.toStarAddMonoid.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_9)) _inst_10))) r)) (Star.star.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (InvolutiveStar.toStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (StarSemigroup.toInvolutiveStar.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (SemigroupWithZero.toSemigroup.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonUnitalSemiring.toSemigroupWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toNonUnitalSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_11))) _inst_12)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_11)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_9)) (Semiring.toNonAssocSemiring.{u1} A _inst_11))))) (algebraMap.{u2, u1} R A _inst_9 _inst_11 _inst_13) r))
+Case conversion may be inaccurate. Consider using '#align algebra_map_star_comm algebraMap_star_commₓ'. -/
 @[simp]
 theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]
     [StarSemigroup A] [Algebra R A] [StarModule R A] (r : R) :

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

chore: Rename nat_cast/int_cast/rat_cast to natCast/intCast/ratCast (#11486)

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

145460b9

Diff

@@ -35,34 +35,34 @@ section SMulLemmas
 variable {R M : Type*}
 
 @[simp]
-theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
+theorem star_natCast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_nat_cast_smul star_nat_cast_smul
+  map_natCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_nat_cast_smul star_natCast_smul
 
 @[simp]
-theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
+theorem star_intCast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_int_cast_smul star_int_cast_smul
+  map_intCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_int_cast_smul star_intCast_smul
 
 @[simp]
-theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
+theorem star_inv_natCast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
     (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-  map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_inv_nat_cast_smul star_inv_nat_cast_smul
+  map_inv_natCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_inv_nat_cast_smul star_inv_natCast_smul
 
 @[simp]
-theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
+theorem star_inv_intCast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
     (n : ℤ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-  map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_inv_int_cast_smul star_inv_int_cast_smul
+  map_inv_intCast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_inv_int_cast_smul star_inv_intCast_smul
 
 @[simp]
-theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
+theorem star_ratCast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_rat_cast_smul (starAddEquiv : M ≃+ M) _ _ _ x
-#align star_rat_cast_smul star_rat_cast_smul
+  map_ratCast_smul (starAddEquiv : M ≃+ M) _ _ _ x
+#align star_rat_cast_smul star_ratCast_smul
 
 @[simp]
 theorem star_rat_smul {R : Type*} [AddCommGroup R] [StarAddMonoid R] [Module ℚ R] (x : R) (n : ℚ) :

chore: classify todo porting notes (#11216)

Classifies by adding issue number #11215 to porting notes claiming "TODO".

86f95a40

Diff

@@ -145,7 +145,7 @@ theorem IsSelfAdjoint.selfAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
     selfAdjointPart R x = ⟨x, hx⟩ :=
   Subtype.eq (hx.coe_selfAdjointPart_apply R)
 
--- Porting note: todo: make it a `simp`
+-- Porting note (#11215): TODO: make it a `simp`
 theorem selfAdjointPart_comp_subtype_selfAdjoint :
     (selfAdjointPart R).comp (selfAdjoint.submodule R A).subtype = .id :=
   LinearMap.ext fun x ↦ x.2.selfAdjointPart_apply R
@@ -154,17 +154,17 @@ theorem IsSelfAdjoint.skewAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
     skewAdjointPart R x = 0 := Subtype.eq <| by
   rw [skewAdjointPart_apply_coe, hx.star_eq, sub_self, smul_zero, ZeroMemClass.coe_zero]
 
--- Porting note: todo: make it a `simp`
+-- Porting note (#11215): TODO: make it a `simp`
 theorem skewAdjointPart_comp_subtype_selfAdjoint :
     (skewAdjointPart R).comp (selfAdjoint.submodule R A).subtype = 0 :=
   LinearMap.ext fun x ↦ x.2.skewAdjointPart_apply R
 
--- Porting note: todo: make it a `simp`
+-- Porting note (#11215): TODO: make it a `simp`
 theorem selfAdjointPart_comp_subtype_skewAdjoint :
     (selfAdjointPart R).comp (skewAdjoint.submodule R A).subtype = 0 :=
   LinearMap.ext fun ⟨x, (hx : _ = _)⟩ ↦ Subtype.eq <| by simp [hx]
 
--- Porting note: todo: make it a `simp`
+-- Porting note (#11215): TODO: make it a `simp`
 theorem skewAdjointPart_comp_subtype_skewAdjoint :
     (skewAdjointPart R).comp (skewAdjoint.submodule R A).subtype = .id :=
   LinearMap.ext fun ⟨x, (hx : _ = _)⟩ ↦ Subtype.eq <| by

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

8be0b69c

Diff

@@ -145,7 +145,7 @@ theorem IsSelfAdjoint.selfAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
     selfAdjointPart R x = ⟨x, hx⟩ :=
   Subtype.eq (hx.coe_selfAdjointPart_apply R)
 
--- porting note: todo: make it a `simp`
+-- Porting note: todo: make it a `simp`
 theorem selfAdjointPart_comp_subtype_selfAdjoint :
     (selfAdjointPart R).comp (selfAdjoint.submodule R A).subtype = .id :=
   LinearMap.ext fun x ↦ x.2.selfAdjointPart_apply R
@@ -154,17 +154,17 @@ theorem IsSelfAdjoint.skewAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
     skewAdjointPart R x = 0 := Subtype.eq <| by
   rw [skewAdjointPart_apply_coe, hx.star_eq, sub_self, smul_zero, ZeroMemClass.coe_zero]
 
--- porting note: todo: make it a `simp`
+-- Porting note: todo: make it a `simp`
 theorem skewAdjointPart_comp_subtype_selfAdjoint :
     (skewAdjointPart R).comp (selfAdjoint.submodule R A).subtype = 0 :=
   LinearMap.ext fun x ↦ x.2.skewAdjointPart_apply R
 
--- porting note: todo: make it a `simp`
+-- Porting note: todo: make it a `simp`
 theorem selfAdjointPart_comp_subtype_skewAdjoint :
     (selfAdjointPart R).comp (skewAdjoint.submodule R A).subtype = 0 :=
   LinearMap.ext fun ⟨x, (hx : _ = _)⟩ ↦ Subtype.eq <| by simp [hx]
 
--- porting note: todo: make it a `simp`
+-- Porting note: todo: make it a `simp`
 theorem skewAdjointPart_comp_subtype_skewAdjoint :
     (skewAdjointPart R).comp (skewAdjoint.submodule R A).subtype = .id :=
   LinearMap.ext fun ⟨x, (hx : _ = _)⟩ ↦ Subtype.eq <| by

feat: adds IsSelfAdjoint.algebraMap (#10366)

algebraMap R A r is selfadjiont when A is a star R-algebra and r is selfadjoint.

16045550

Diff

@@ -82,6 +82,8 @@ def starLinearEquiv (R : Type*) {A : Type*} [CommSemiring R] [StarRing R] [AddCo
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
 
+section SelfSkewAdjoint
+
 variable (R : Type*) (A : Type*) [Semiring R] [StarMul R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A]
 
@@ -183,9 +185,25 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
   ext x <;> dsimp <;> erw [Submodule.coeSubtype, Submodule.coeSubtype] <;> simp
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
+end SelfSkewAdjoint
+
+section algebraMap
+
+variable {R A : Type*} [CommSemiring R] [StarRing R] [Semiring A]
+variable [StarMul A] [Algebra R A] [StarModule R A]
+
 @[simp]
-theorem algebraMap_star_comm {R A : Type*} [CommSemiring R] [StarRing R] [Semiring A]
-    [StarMul A] [Algebra R A] [StarModule R A] (r : R) :
-    algebraMap R A (star r) = star (algebraMap R A r) := by
+theorem algebraMap_star_comm (r : R) : algebraMap R A (star r) = star (algebraMap R A r) := by
   simp only [Algebra.algebraMap_eq_smul_one, star_smul, star_one]
 #align algebra_map_star_comm algebraMap_star_comm
+
+variable (A) in
+protected lemma IsSelfAdjoint.algebraMap {r : R} (hr : IsSelfAdjoint r) :
+    IsSelfAdjoint (algebraMap R A r) := by
+  simpa using congr(algebraMap R A $(hr.star_eq))
+
+lemma isSelfAdjoint_algebraMap_iff {r : R} (h : Function.Injective (algebraMap R A)) :
+    IsSelfAdjoint (algebraMap R A r) ↔ IsSelfAdjoint r :=
+  ⟨fun hr ↦ h <| algebraMap_star_comm r (A := A) ▸ hr.star_eq, IsSelfAdjoint.algebraMap A⟩
+
+end algebraMap

chore: Nsmul -> NSMul, Zpow -> ZPow, etc (#9067)

Normalising to naming convention rule number 6.

9b2f0dca

Diff

@@ -30,7 +30,7 @@ This file also provides some lemmas that need `Algebra.Module.Basic` imported to
 -/
 
 
-section SmulLemmas
+section SMulLemmas
 
 variable {R M : Type*}
 
@@ -70,7 +70,7 @@ theorem star_rat_smul {R : Type*} [AddCommGroup R] [StarAddMonoid R] [Module ℚ
   map_rat_smul (starAddEquiv : R ≃+ R) _ _
 #align star_rat_smul star_rat_smul
 
-end SmulLemmas
+end SMulLemmas
 
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/

perf: remove overspecified fields (#6965)

This removes redundant field values of the form add := add for smaller terms and less unfolding during unification.

A list of all files containing a structure instance of the form { a1, ... with x1 := val, ... } where some xi is a field of some aj was generated by modifying the structure instance elaboration algorithm to print such overlaps to stdout in a custom toolchain.

Using that toolchain, I went through each file on the list and attempted to remove algebraic fields that overlapped and were redundant, eg add := add and not toFun (though some other ones did creep in). If things broke (which was the case in a couple of cases), I did not push further and reverted.

It is possible that pushing harder and trying to remove all redundant overlaps will yield further improvements.

12150475

Diff

@@ -174,12 +174,13 @@ variable (A)
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
 as a linear equivalence. -/
 -- Porting note: This attribute causes a `timeout at 'whnf'`.
--- @[simps!]
+@[simps!]
 def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A := by
   refine LinearEquiv.ofLinear ((selfAdjointPart R).prod (skewAdjointPart R))
     (LinearMap.coprod ((selfAdjoint.submodule R A).subtype) (skewAdjoint.submodule R A).subtype)
     ?_ (LinearMap.ext <| StarModule.selfAdjointPart_add_skewAdjointPart R)
-  ext <;> simp
+  -- Note: with #6965 `Submodule.coeSubtype` doesn't fire in `dsimp` or `simp`
+  ext x <;> dsimp <;> erw [Submodule.coeSubtype, Submodule.coeSubtype] <;> simp
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
 @[simp]

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

@@ -82,7 +82,7 @@ def starLinearEquiv (R : Type*) {A : Type*} [CommSemiring R] [StarRing R] [AddCo
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
 
-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]
 
 /-- The self-adjoint elements of a star module, as a submodule. -/
@@ -184,7 +184,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 
 @[simp]
 theorem algebraMap_star_comm {R A : Type*} [CommSemiring R] [StarRing R] [Semiring A]
-    [StarSemigroup A] [Algebra R A] [StarModule R A] (r : R) :
+    [StarMul A] [Algebra R A] [StarModule R A] (r : R) :
     algebraMap R A (star r) = star (algebraMap R A r) := by
   simp only [Algebra.algebraMap_eq_smul_one, star_smul, star_one]
 #align algebra_map_star_comm algebraMap_star_comm

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

@@ -32,7 +32,7 @@ This file also provides some lemmas that need `Algebra.Module.Basic` imported to
 
 section SmulLemmas
 
-variable {R M : Type _}
+variable {R M : Type*}
 
 @[simp]
 theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
@@ -65,7 +65,7 @@ theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarA
 #align star_rat_cast_smul star_rat_cast_smul
 
 @[simp]
-theorem star_rat_smul {R : Type _} [AddCommGroup R] [StarAddMonoid R] [Module ℚ R] (x : R) (n : ℚ) :
+theorem star_rat_smul {R : Type*} [AddCommGroup R] [StarAddMonoid R] [Module ℚ R] (x : R) (n : ℚ) :
     star (n • x) = n • star x :=
   map_rat_smul (starAddEquiv : R ≃+ R) _ _
 #align star_rat_smul star_rat_smul
@@ -75,14 +75,14 @@ end SmulLemmas
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/
 @[simps]
-def starLinearEquiv (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid A]
+def starLinearEquiv (R : Type*) {A : Type*} [CommSemiring R] [StarRing R] [AddCommMonoid A]
     [StarAddMonoid A] [Module R A] [StarModule R A] : A ≃ₗ⋆[R] A :=
   { starAddEquiv with
     toFun := star
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
 
-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]
 
 /-- The self-adjoint elements of a star module, as a submodule. -/
@@ -183,7 +183,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
 @[simp]
-theorem algebraMap_star_comm {R A : Type _} [CommSemiring R] [StarRing R] [Semiring A]
+theorem algebraMap_star_comm {R A : Type*} [CommSemiring R] [StarRing R] [Semiring A]
     [StarSemigroup A] [Algebra R A] [StarModule R A] (r : R) :
     algebraMap R A (star r) = star (algebraMap R A r) := by
   simp only [Algebra.algebraMap_eq_smul_one, star_smul, star_one]

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) 2021 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 algebra.star.module
-! leanprover-community/mathlib commit aa6669832974f87406a3d9d70fc5707a60546207
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Star.SelfAdjoint
 import Mathlib.Algebra.Module.Equiv
 import Mathlib.LinearAlgebra.Prod
 
+#align_import algebra.star.module from "leanprover-community/mathlib"@"aa6669832974f87406a3d9d70fc5707a60546207"
+
 /-!
 # The star operation, bundled as a star-linear equiv

chore: cleanup some simp-related porting notes (#4954)

I was looking on https://github.com/leanprover-community/mathlib4/pull/4933 to see what simp related porting notes I could improve after https://github.com/leanprover/lean4/pull/2266 lands in Lean 4. Mostly things I found could be cleaned up in any case, and so I've moved those into this PR.

There is lots more work to do diagnosing all the simp-related porting notes!

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

aea24d26

Diff

@@ -182,11 +182,7 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
   refine LinearEquiv.ofLinear ((selfAdjointPart R).prod (skewAdjointPart R))
     (LinearMap.coprod ((selfAdjoint.submodule R A).subtype) (skewAdjoint.submodule R A).subtype)
     ?_ (LinearMap.ext <| StarModule.selfAdjointPart_add_skewAdjointPart R)
-  -- Porting note: The remaining proof at this point used to be `ext <;> simp`.
-  simp only [LinearMap.comp_coprod, LinearMap.prod_comp, selfAdjointPart_comp_subtype_selfAdjoint,
-    selfAdjointPart_comp_subtype_skewAdjoint, skewAdjointPart_comp_subtype_selfAdjoint,
-    skewAdjointPart_comp_subtype_skewAdjoint, LinearMap.coprod_zero_left,
-    LinearMap.coprod_zero_right, LinearMap.id_comp, LinearMap.pair_fst_snd]
+  ext <;> simp
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
 @[simp]

chore: partially forward-port leanprover-community/mathlib#19037 (#4102)

bd2d76d2

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 algebra.star.module
-! leanprover-community/mathlib commit 30413fc89f202a090a54d78e540963ed3de0056e
+! leanprover-community/mathlib commit aa6669832974f87406a3d9d70fc5707a60546207
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -78,8 +78,8 @@ end SmulLemmas
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/
 @[simps]
-def starLinearEquiv (R : Type _) {A : Type _} [CommRing R] [StarRing R] [Semiring A] [StarRing A]
-    [Module R A] [StarModule R A] : A ≃ₗ⋆[R] A :=
+def starLinearEquiv (R : Type _) {A : Type _} [CommSemiring R] [StarRing R] [AddCommMonoid A]
+    [StarAddMonoid A] [Module R A] [StarModule R A] : A ≃ₗ⋆[R] A :=
   { starAddEquiv with
     toFun := star
     map_smul' := star_smul }

chore: delete 2074 references (#4030)

1877b122

Diff

@@ -75,11 +75,6 @@ theorem star_rat_smul {R : Type _} [AddCommGroup R] [StarAddMonoid R] [Module 
 
 end SmulLemmas
 
-section deinstance
--- porting note: this is lean#2074 at play
-attribute [-instance] Ring.toNonUnitalRing
-attribute [-instance] CommRing.toNonUnitalCommRing
-
 /-- If `A` is a module over a commutative `R` with compatible actions,
 then `star` is a semilinear equivalence. -/
 @[simps]
@@ -90,8 +85,6 @@ def starLinearEquiv (R : Type _) {A : Type _} [CommRing R] [StarRing R] [Semirin
     map_smul' := star_smul }
 #align star_linear_equiv starLinearEquiv
 
-end deinstance
-
 variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R] [AddCommGroup A]
   [Module R A] [StarAddMonoid A] [StarModule R A]

feat: port Algebra.Module.Projective (#3335)

6ab1bde3

Diff

@@ -109,8 +109,7 @@ variable {A} [Invertible (2 : R)]
 
 /-- The self-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
-def selfAdjointPart : A →ₗ[R] selfAdjoint A
-    where
+def selfAdjointPart : A →ₗ[R] selfAdjoint A where
   toFun x :=
     ⟨(⅟ 2 : R) • (x + star x), by
       simp only [selfAdjoint.mem_iff, star_smul, add_comm, StarAddMonoid.star_add, star_inv',
@@ -125,8 +124,7 @@ def selfAdjointPart : A →ₗ[R] selfAdjoint A
 
 /-- The skew-adjoint part of an element of a star module, as a linear map. -/
 @[simps]
-def skewAdjointPart : A →ₗ[R] skewAdjoint A
-    where
+def skewAdjointPart : A →ₗ[R] skewAdjoint A where
   toFun x :=
     ⟨(⅟ 2 : R) • (x - star x), by
       simp only [skewAdjoint.mem_iff, star_smul, star_sub, star_star, star_trivial, ← smul_neg,
@@ -147,6 +145,40 @@ theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     add_add_sub_cancel, invOf_two_smul_add_invOf_two_smul]
 #align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPart
 
+theorem IsSelfAdjoint.coe_selfAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
+    (selfAdjointPart R x : A) = x := by
+  rw [selfAdjointPart_apply_coe, hx.star_eq, smul_add, invOf_two_smul_add_invOf_two_smul]
+
+theorem IsSelfAdjoint.selfAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
+    selfAdjointPart R x = ⟨x, hx⟩ :=
+  Subtype.eq (hx.coe_selfAdjointPart_apply R)
+
+-- porting note: todo: make it a `simp`
+theorem selfAdjointPart_comp_subtype_selfAdjoint :
+    (selfAdjointPart R).comp (selfAdjoint.submodule R A).subtype = .id :=
+  LinearMap.ext fun x ↦ x.2.selfAdjointPart_apply R
+
+theorem IsSelfAdjoint.skewAdjointPart_apply {x : A} (hx : IsSelfAdjoint x) :
+    skewAdjointPart R x = 0 := Subtype.eq <| by
+  rw [skewAdjointPart_apply_coe, hx.star_eq, sub_self, smul_zero, ZeroMemClass.coe_zero]
+
+-- porting note: todo: make it a `simp`
+theorem skewAdjointPart_comp_subtype_selfAdjoint :
+    (skewAdjointPart R).comp (selfAdjoint.submodule R A).subtype = 0 :=
+  LinearMap.ext fun x ↦ x.2.skewAdjointPart_apply R
+
+-- porting note: todo: make it a `simp`
+theorem selfAdjointPart_comp_subtype_skewAdjoint :
+    (selfAdjointPart R).comp (skewAdjoint.submodule R A).subtype = 0 :=
+  LinearMap.ext fun ⟨x, (hx : _ = _)⟩ ↦ Subtype.eq <| by simp [hx]
+
+-- porting note: todo: make it a `simp`
+theorem skewAdjointPart_comp_subtype_skewAdjoint :
+    (skewAdjointPart R).comp (skewAdjoint.submodule R A).subtype = .id :=
+  LinearMap.ext fun ⟨x, (hx : _ = _)⟩ ↦ Subtype.eq <| by
+    simp only [LinearMap.comp_apply, Submodule.subtype_apply, skewAdjointPart_apply_coe, hx,
+      sub_neg_eq_add, smul_add, invOf_two_smul_add_invOf_two_smul]; rfl
+
 variable (A)
 
 /-- The decomposition of elements of a star module into their self- and skew-adjoint parts,
@@ -158,33 +190,10 @@ def StarModule.decomposeProdAdjoint : A ≃ₗ[R] selfAdjoint A × skewAdjoint A
     (LinearMap.coprod ((selfAdjoint.submodule R A).subtype) (skewAdjoint.submodule R A).subtype)
     ?_ (LinearMap.ext <| StarModule.selfAdjointPart_add_skewAdjointPart R)
   -- Porting note: The remaining proof at this point used to be `ext <;> simp`.
-  ext
-  · rw [LinearMap.id_coe, id.def]
-    rw [LinearMap.coe_comp, Function.comp_apply, LinearMap.coprod_apply]
-
-    -- Porting note: It seems that in mathlib4 simp got a problem with defEq things.
-    -- It seems that in mathlib3 this was `submodule.coe_subtype`.
-    -- i.e. `rw [Submodule.coeSubtype]`
-    rename_i x
-    change ↑((LinearMap.prod (selfAdjointPart R) (skewAdjointPart R))
-      (Subtype.val x.fst + Subtype.val x.snd)).fst = (x.fst : A)
-
-    simp
-  · rw [LinearMap.id_coe, id.def]
-    rw [LinearMap.coe_comp, Function.comp_apply, LinearMap.coprod_apply]
-
-    -- Porting note: See note above.
-    rename_i x
-    change ↑((LinearMap.prod (selfAdjointPart R) (skewAdjointPart R))
-      (Subtype.val x.fst + Subtype.val x.snd)).snd = (x.snd : A)
-
-    -- Porting note: With `set_option synthInstance.etaExperiment true` (lean4#2074) one needs the
-    -- 2 lines below (in particular `Pi.prod`).
-    -- With `etaExperiment false` they are uneccessary as `simp` would succeed without.
-    rw [LinearMap.prod_apply]
-    rw [Pi.prod]
-
-    simp
+  simp only [LinearMap.comp_coprod, LinearMap.prod_comp, selfAdjointPart_comp_subtype_selfAdjoint,
+    selfAdjointPart_comp_subtype_skewAdjoint, skewAdjointPart_comp_subtype_selfAdjoint,
+    skewAdjointPart_comp_subtype_skewAdjoint, LinearMap.coprod_zero_left,
+    LinearMap.coprod_zero_right, LinearMap.id_comp, LinearMap.pair_fst_snd]
 #align star_module.decompose_prod_adjoint StarModule.decomposeProdAdjoint
 
 @[simp]

fix: inv_of -> invOf (#3336)

da1bd9ef

Diff

@@ -144,7 +144,7 @@ def skewAdjointPart : A →ₗ[R] skewAdjoint A
 theorem StarModule.selfAdjointPart_add_skewAdjointPart (x : A) :
     (selfAdjointPart R x : A) + skewAdjointPart R x = x := by
   simp only [smul_sub, selfAdjointPart_apply_coe, smul_add, skewAdjointPart_apply_coe,
-    add_add_sub_cancel, inv_of_two_smul_add_inv_of_two_smul]
+    add_add_sub_cancel, invOf_two_smul_add_invOf_two_smul]
 #align star_module.self_adjoint_part_add_skew_adjoint_part StarModule.selfAdjointPart_add_skewAdjointPart
 
 variable (A)

chore: re-port Mathlib.Algebra.Star.SelfAdjoint (#3159)

This file was sufficiently far out of sync that it seemed sensible to just report it.

A fresh output from mathport is included as a first commit; making it possible to diff both against the version in mathlib, and the version from mathlib.

The change to Mathlib.Algebra.Star.Module was forgotten in #2926.

10563d10

Diff

@@ -97,7 +97,7 @@ variable (R : Type _) (A : Type _) [Semiring R] [StarSemigroup R] [TrivialStar R
 
 /-- The self-adjoint elements of a star module, as a submodule. -/
 def selfAdjoint.submodule : Submodule R A :=
-  { selfAdjoint A with smul_mem' := IsSelfAdjoint.smul }
+  { selfAdjoint A with smul_mem' := fun _ _ => (IsSelfAdjoint.all _).smul }
 #align self_adjoint.submodule selfAdjoint.submodule
 
 /-- The skew-adjoint elements of a star module, as a submodule. -/

chore: forward-port leanprover-community/mathlib#18597 (#2926)

This is a forward-port of https://github.com/leanprover-community/mathlib/pull/18597

Some notes:

This doesn't forward-port the changes to algebra/star/self_adjoint; I plan to re-port this file from scratch after https://github.com/leanprover-community/mathlib/pull/18565 lands. For now, I just add some hacks to keep it compiling.
It seems that the changes to algebra/periodic were made during porting, see https://github.com/leanprover-community/mathlib4/pull/1963/files/2a6b385f555c37f3eb5e4dd9c113e0a1b5f6b958..[578a6252](https://github.com/leanprover-community/mathlib/commit/578a6252973bcdbd1a6ce4fc0fe2791295cf80e4)#r1140354814. So there is nothing to do other than update the SHA.

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

5ea27f76

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 algebra.star.module
-! leanprover-community/mathlib commit 09d7fe375d1f63d17cf6b2aa4b413ab3e6ec49df
+! leanprover-community/mathlib commit 30413fc89f202a090a54d78e540963ed3de0056e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -37,6 +37,12 @@ section SmulLemmas
 
 variable {R M : Type _}
 
+@[simp]
+theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
+    (x : M) : star ((n : R) • x) = (n : R) • star x :=
+  map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_nat_cast_smul star_nat_cast_smul
+
 @[simp]
 theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℤ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=
@@ -44,10 +50,10 @@ theorem star_int_cast_smul [Ring R] [AddCommGroup M] [Module R M] [StarAddMonoid
 #align star_int_cast_smul star_int_cast_smul
 
 @[simp]
-theorem star_nat_cast_smul [Semiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M] (n : ℕ)
-    (x : M) : star ((n : R) • x) = (n : R) • star x :=
-  map_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_nat_cast_smul star_nat_cast_smul
+theorem star_inv_nat_cast_smul [DivisionSemiring R] [AddCommMonoid M] [Module R M] [StarAddMonoid M]
+    (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
+  map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
+#align star_inv_nat_cast_smul star_inv_nat_cast_smul
 
 @[simp]
 theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
@@ -55,12 +61,6 @@ theorem star_inv_int_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [S
   map_inv_int_cast_smul (starAddEquiv : M ≃+ M) R R n x
 #align star_inv_int_cast_smul star_inv_int_cast_smul
 
-@[simp]
-theorem star_inv_nat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M]
-    (n : ℕ) (x : M) : star ((n⁻¹ : R) • x) = (n⁻¹ : R) • star x :=
-  map_inv_nat_cast_smul (starAddEquiv : M ≃+ M) R R n x
-#align star_inv_nat_cast_smul star_inv_nat_cast_smul
-
 @[simp]
 theorem star_rat_cast_smul [DivisionRing R] [AddCommGroup M] [Module R M] [StarAddMonoid M] (n : ℚ)
     (x : M) : star ((n : R) • x) = (n : R) • star x :=