algebra.star.basic ⟷ Mathlib.Algebra.Star.Basic

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

@@ -5,7 +5,7 @@ Authors: Scott Morrison
 -/
 import Algebra.Ring.Aut
 import Algebra.Ring.CompTypeclasses
-import Data.Rat.Cast
+import Data.Rat.Cast.Defs
 import GroupTheory.GroupAction.Opposite
 import Data.SetLike.Basic
 
@@ -492,8 +492,8 @@ theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [S
 alias Complex.conj_conj := starRingEnd_self_apply
 #align complex.conj_conj Complex.conj_conj
 
-alias IsROrC.conj_conj := starRingEnd_self_apply
-#align is_R_or_C.conj_conj IsROrC.conj_conj
+alias RCLike.conj_conj := starRingEnd_self_apply
+#align is_R_or_C.conj_conj RCLike.conj_conj
 
 #print star_inv' /-
 @[simp]

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

@@ -586,7 +586,7 @@ section
 #print StarHomClass /-
 /-- `star_hom_class F R S` states that `F` is a type of `star`-preserving maps from `R` to `S`. -/
 class StarHomClass (F : Type _) (R S : outParam (Type _)) [Star R] [Star S] extends
-    FunLike F R fun _ => S where
+    DFunLike F R fun _ => S where
   map_star : ∀ (f : F) (r : R), f (star r) = star (f r)
 #align star_hom_class StarHomClass
 -/

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

@@ -565,11 +565,11 @@ export StarModule (star_smul)
 
 attribute [simp] star_smul
 
-#print StarSemigroup.to_starModule /-
+#print StarMul.toStarModule /-
 /-- A commutative star monoid is a star module over itself via `monoid.to_mul_action`. -/
-instance StarSemigroup.to_starModule [CommMonoid R] [StarMul R] : StarModule R R :=
+instance StarMul.toStarModule [CommMonoid R] [StarMul R] : StarModule R R :=
   ⟨star_mul'⟩
-#align star_semigroup.to_star_module StarSemigroup.to_starModule
+#align star_semigroup.to_star_module StarMul.toStarModule
 -/
 
 namespace RingHomInvPair

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

@@ -3,11 +3,11 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Ring.Aut
-import Mathbin.Algebra.Ring.CompTypeclasses
-import Mathbin.Data.Rat.Cast
-import Mathbin.GroupTheory.GroupAction.Opposite
-import Mathbin.Data.SetLike.Basic
+import Algebra.Ring.Aut
+import Algebra.Ring.CompTypeclasses
+import Data.Rat.Cast
+import GroupTheory.GroupAction.Opposite
+import Data.SetLike.Basic
 
 #align_import algebra.star.basic from "leanprover-community/mathlib"@"31c24aa72e7b3e5ed97a8412470e904f82b81004"
 

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

@@ -140,22 +140,22 @@ export TrivialStar (star_trivial)
 
 attribute [simp] star_trivial
 
-#print StarSemigroup /-
+#print StarMul /-
 /-- A `*`-semigroup is a semigroup `R` with an involutive operations `star`
 so `star (r * s) = star s * star r`.
 -/
-class StarSemigroup (R : Type u) [Semigroup R] extends InvolutiveStar R where
+class StarMul (R : Type u) [Semigroup R] extends InvolutiveStar R where
   star_hMul : ∀ r s : R, star (r * s) = star s * star r
-#align star_semigroup StarSemigroup
+#align star_semigroup StarMul
 -/
 
-export StarSemigroup (star_hMul)
+export StarMul (star_hMul)
 
 attribute [simp] star_mul
 
-section StarSemigroup
+section StarMul
 
-variable [Semigroup R] [StarSemigroup R]
+variable [Semigroup R] [StarMul R]
 
 #print star_star_mul /-
 theorem star_star_mul (x y : R) : star (star x * y) = star y * x := by rw [star_mul, star_star]
@@ -194,12 +194,12 @@ theorem commute_star_comm {x y : R} : Commute (star x) y ↔ Commute x (star y)
 #align commute_star_comm commute_star_comm
 -/
 
-end StarSemigroup
+end StarMul
 
 #print star_mul' /-
 /-- In a commutative ring, make `simp` prefer leaving the order unchanged. -/
 @[simp]
-theorem star_mul' [CommSemigroup R] [StarSemigroup R] (x y : R) : star (x * y) = star x * star y :=
+theorem star_mul' [CommSemigroup R] [StarMul R] (x y : R) : star (x * y) = star x * star y :=
   (star_hMul x y).trans (mul_comm _ _)
 #align star_mul' star_mul'
 -/
@@ -207,7 +207,7 @@ theorem star_mul' [CommSemigroup R] [StarSemigroup R] (x y : R) : star (x * y) =
 #print starMulEquiv /-
 /-- `star` as an `mul_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]
-def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
+def starMulEquiv [Semigroup R] [StarMul R] : R ≃* Rᵐᵒᵖ :=
   {
     (InvolutiveStar.star_involutive.toPerm star).trans
       opEquiv with
@@ -219,7 +219,7 @@ def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
 #print starMulAut /-
 /-- `star` as a `mul_aut` for commutative `R`. -/
 @[simps apply]
-def starMulAut [CommSemigroup R] [StarSemigroup R] : MulAut R :=
+def starMulAut [CommSemigroup R] [StarMul R] : MulAut R :=
   {
     InvolutiveStar.star_involutive.toPerm
       star with
@@ -232,7 +232,7 @@ variable (R)
 
 #print star_one /-
 @[simp]
-theorem star_one [Monoid R] [StarSemigroup R] : star (1 : R) = 1 :=
+theorem star_one [Monoid R] [StarMul R] : star (1 : R) = 1 :=
   op_injective <| (starMulEquiv : R ≃* Rᵐᵒᵖ).map_one.trans (op_one _).symm
 #align star_one star_one
 -/
@@ -241,7 +241,7 @@ variable {R}
 
 #print star_pow /-
 @[simp]
-theorem star_pow [Monoid R] [StarSemigroup R] (x : R) (n : ℕ) : star (x ^ n) = star x ^ n :=
+theorem star_pow [Monoid R] [StarMul R] (x : R) (n : ℕ) : star (x ^ n) = star x ^ n :=
   op_injective <|
     ((starMulEquiv : R ≃* Rᵐᵒᵖ).toMonoidHom.map_pow x n).trans (op_pow (star x) n).symm
 #align star_pow star_pow
@@ -249,14 +249,14 @@ theorem star_pow [Monoid R] [StarSemigroup R] (x : R) (n : ℕ) : star (x ^ n) =
 
 #print star_inv /-
 @[simp]
-theorem star_inv [Group R] [StarSemigroup R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
+theorem star_inv [Group R] [StarMul R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| ((starMulEquiv : R ≃* Rᵐᵒᵖ).toMonoidHom.map_inv x).trans (op_inv (star x)).symm
 #align star_inv star_inv
 -/
 
 #print star_zpow /-
 @[simp]
-theorem star_zpow [Group R] [StarSemigroup R] (x : R) (z : ℤ) : star (x ^ z) = star x ^ z :=
+theorem star_zpow [Group R] [StarMul R] (x : R) (z : ℤ) : star (x ^ z) = star x ^ z :=
   op_injective <|
     ((starMulEquiv : R ≃* Rᵐᵒᵖ).toMonoidHom.map_zpow x z).trans (op_zpow (star x) z).symm
 #align star_zpow star_zpow
@@ -265,28 +265,28 @@ theorem star_zpow [Group R] [StarSemigroup R] (x : R) (z : ℤ) : star (x ^ z) =
 #print star_div /-
 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]
-theorem star_div [CommGroup R] [StarSemigroup R] (x y : R) : star (x / y) = star x / star y :=
+theorem star_div [CommGroup R] [StarMul R] (x y : R) : star (x / y) = star x / star y :=
   map_div (starMulAut : R ≃* R) _ _
 #align star_div star_div
 -/
 
-#print starSemigroupOfComm /-
+#print starMulOfComm /-
 /-- Any commutative monoid admits the trivial `*`-structure.
 
 See note [reducible non-instances].
 -/
 @[reducible]
-def starSemigroupOfComm {R : Type _} [CommMonoid R] : StarSemigroup R
+def starMulOfComm {R : Type _} [CommMonoid R] : StarMul R
     where
   unit := id
   star_involutive x := rfl
   star_hMul := mul_comm
-#align star_semigroup_of_comm starSemigroupOfComm
+#align star_semigroup_of_comm starMulOfComm
 -/
 
 section
 
-attribute [local instance] starSemigroupOfComm
+attribute [local instance] starMulOfComm
 
 #print star_id_of_comm /-
 /-- Note that since `star_semigroup_of_comm` is reducible, `simp` can already prove this. -/
@@ -379,7 +379,7 @@ theorem star_zsmul [AddGroup R] [StarAddMonoid R] (x : R) (n : ℤ) : star (n 
 which makes `R` with its multiplicative structure into a `*`-semigroup
 (i.e. `star (r * s) = star s * star r`).
 -/
-class StarRing (R : Type u) [NonUnitalSemiring R] extends StarSemigroup R where
+class StarRing (R : Type u) [NonUnitalSemiring R] extends StarMul R where
   star_add : ∀ r s : R, star (r + s) = star r + star s
 #align star_ring StarRing
 -/
@@ -538,7 +538,7 @@ See note [reducible non-instances].
 -/
 @[reducible]
 def starRingOfComm {R : Type _} [CommSemiring R] : StarRing R :=
-  { starSemigroupOfComm with
+  { starMulOfComm with
     unit := id
     star_add := fun x y => rfl }
 #align star_ring_of_comm starRingOfComm
@@ -567,7 +567,7 @@ attribute [simp] star_smul
 
 #print StarSemigroup.to_starModule /-
 /-- A commutative star monoid is a star module over itself via `monoid.to_mul_action`. -/
-instance StarSemigroup.to_starModule [CommMonoid R] [StarSemigroup R] : StarModule R R :=
+instance StarSemigroup.to_starModule [CommMonoid R] [StarMul R] : StarModule R R :=
   ⟨star_mul'⟩
 #align star_semigroup.to_star_module StarSemigroup.to_starModule
 -/
@@ -600,9 +600,9 @@ end
 
 namespace Units
 
-variable [Monoid R] [StarSemigroup R]
+variable [Monoid R] [StarMul R]
 
-instance : StarSemigroup Rˣ
+instance : StarMul Rˣ
     where
   unit u :=
     { val := star u
@@ -632,14 +632,14 @@ instance {A : Type _} [Star A] [SMul R A] [StarModule R A] : StarModule Rˣ A :=
 end Units
 
 #print IsUnit.star /-
-theorem IsUnit.star [Monoid R] [StarSemigroup R] {a : R} : IsUnit a → IsUnit (star a)
+theorem IsUnit.star [Monoid R] [StarMul R] {a : R} : IsUnit a → IsUnit (star a)
   | ⟨u, hu⟩ => ⟨star u, hu ▸ rfl⟩
 #align is_unit.star IsUnit.star
 -/
 
 #print isUnit_star /-
 @[simp]
-theorem isUnit_star [Monoid R] [StarSemigroup R] {a : R} : IsUnit (star a) ↔ IsUnit a :=
+theorem isUnit_star [Monoid R] [StarMul R] {a : R} : IsUnit (star a) ↔ IsUnit a :=
   ⟨fun h => star_star a ▸ h.unit, IsUnit.star⟩
 #align is_unit_star isUnit_star
 -/
@@ -656,7 +656,7 @@ theorem Ring.inverse_star [Semiring R] [StarRing R] (a : R) :
 -/
 
 #print Invertible.star /-
-instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r] :
+instance Invertible.star {R : Type _} [Monoid R] [StarMul R] (r : R) [Invertible r] :
     Invertible (star r) where
   invOf := star (⅟ r)
   invOf_hMul_self := by rw [← star_mul, mul_invOf_self, star_one]
@@ -665,7 +665,7 @@ instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Inve
 -/
 
 #print star_invOf /-
-theorem star_invOf {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r]
+theorem star_invOf {R : Type _} [Monoid R] [StarMul R] (r : R) [Invertible r]
     [Invertible (star r)] : star (⅟ r) = ⅟ (star r) := by letI := Invertible.star r;
   convert (rfl : star (⅟ r) = _)
 #align star_inv_of star_invOf
@@ -693,7 +693,7 @@ theorem op_star [Star R] (r : R) : op (star r) = star (op r) :=
 instance [InvolutiveStar R] : InvolutiveStar Rᵐᵒᵖ
     where star_involutive r := unop_injective (star_star r.unop)
 
-instance [Monoid R] [StarSemigroup R] : StarSemigroup Rᵐᵒᵖ
+instance [Monoid R] [StarMul R] : StarMul Rᵐᵒᵖ
     where star_hMul x y := unop_injective (star_hMul y.unop x.unop)
 
 instance [AddMonoid R] [StarAddMonoid R] : StarAddMonoid Rᵐᵒᵖ
@@ -707,7 +707,7 @@ end MulOpposite
 #print StarSemigroup.toOpposite_starModule /-
 /-- A commutative star monoid is a star module over its opposite via
 `monoid.to_opposite_mul_action`. -/
-instance StarSemigroup.toOpposite_starModule [CommMonoid R] [StarSemigroup R] : StarModule Rᵐᵒᵖ R :=
+instance StarSemigroup.toOpposite_starModule [CommMonoid R] [StarMul R] : StarModule Rᵐᵒᵖ R :=
   ⟨fun r s => star_mul' s r.unop⟩
 #align star_semigroup.to_opposite_star_module StarSemigroup.toOpposite_starModule
 -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -175,7 +175,7 @@ theorem semiconjBy_star_star_star {x y z : R} :
 #align semiconj_by_star_star_star semiconjBy_star_star_star
 -/
 
-alias semiconjBy_star_star_star ↔ _ SemiconjBy.star_star_star
+alias ⟨_, SemiconjBy.star_star_star⟩ := semiconjBy_star_star_star
 #align semiconj_by.star_star_star SemiconjBy.star_star_star
 
 #print commute_star_star /-
@@ -185,7 +185,7 @@ theorem commute_star_star {x y : R} : Commute (star x) (star y) ↔ Commute x y
 #align commute_star_star commute_star_star
 -/
 
-alias commute_star_star ↔ _ Commute.star_star
+alias ⟨_, Commute.star_star⟩ := commute_star_star
 #align commute.star_star Commute.star_star
 
 #print commute_star_comm /-
@@ -489,10 +489,10 @@ theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [S
 -/
 
 -- A more convenient name for complex conjugation
-alias starRingEnd_self_apply ← Complex.conj_conj
+alias Complex.conj_conj := starRingEnd_self_apply
 #align complex.conj_conj Complex.conj_conj
 
-alias starRingEnd_self_apply ← IsROrC.conj_conj
+alias IsROrC.conj_conj := starRingEnd_self_apply
 #align is_R_or_C.conj_conj IsROrC.conj_conj
 
 #print star_inv' /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -145,11 +145,11 @@ attribute [simp] star_trivial
 so `star (r * s) = star s * star r`.
 -/
 class StarSemigroup (R : Type u) [Semigroup R] extends InvolutiveStar R where
-  star_mul : ∀ r s : R, star (r * s) = star s * star r
+  star_hMul : ∀ r s : R, star (r * s) = star s * star r
 #align star_semigroup StarSemigroup
 -/
 
-export StarSemigroup (star_mul)
+export StarSemigroup (star_hMul)
 
 attribute [simp] star_mul
 
@@ -200,7 +200,7 @@ end StarSemigroup
 /-- In a commutative ring, make `simp` prefer leaving the order unchanged. -/
 @[simp]
 theorem star_mul' [CommSemigroup R] [StarSemigroup R] (x y : R) : star (x * y) = star x * star y :=
-  (star_mul x y).trans (mul_comm _ _)
+  (star_hMul x y).trans (mul_comm _ _)
 #align star_mul' star_mul'
 -/
 
@@ -212,7 +212,7 @@ def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
     (InvolutiveStar.star_involutive.toPerm star).trans
       opEquiv with
     toFun := fun x => MulOpposite.op (star x)
-    map_mul' := fun x y => (star_mul x y).symm ▸ MulOpposite.op_mul _ _ }
+    map_mul' := fun x y => (star_hMul x y).symm ▸ MulOpposite.op_mul _ _ }
 #align star_mul_equiv starMulEquiv
 -/
 
@@ -280,7 +280,7 @@ def starSemigroupOfComm {R : Type _} [CommMonoid R] : StarSemigroup R
     where
   unit := id
   star_involutive x := rfl
-  star_mul := mul_comm
+  star_hMul := mul_comm
 #align star_semigroup_of_comm starSemigroupOfComm
 -/
 
@@ -607,10 +607,10 @@ instance : StarSemigroup Rˣ
   unit u :=
     { val := star u
       inv := star ↑u⁻¹
-      val_inv := (star_mul _ _).symm.trans <| (congr_arg star u.inv_val).trans <| star_one _
-      inv_val := (star_mul _ _).symm.trans <| (congr_arg star u.val_inv).trans <| star_one _ }
+      val_inv := (star_hMul _ _).symm.trans <| (congr_arg star u.inv_val).trans <| star_one _
+      inv_val := (star_hMul _ _).symm.trans <| (congr_arg star u.val_inv).trans <| star_one _ }
   star_involutive u := Units.ext (star_involutive _)
-  star_mul u v := Units.ext (star_mul _ _)
+  star_hMul u v := Units.ext (star_hMul _ _)
 
 #print Units.coe_star /-
 @[simp]
@@ -659,8 +659,8 @@ theorem Ring.inverse_star [Semiring R] [StarRing R] (a : R) :
 instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r] :
     Invertible (star r) where
   invOf := star (⅟ r)
-  invOf_mul_self := by rw [← star_mul, mul_invOf_self, star_one]
-  mul_invOf_self := by rw [← star_mul, invOf_mul_self, star_one]
+  invOf_hMul_self := by rw [← star_mul, mul_invOf_self, star_one]
+  hMul_invOf_self := by rw [← star_mul, invOf_mul_self, star_one]
 #align invertible.star Invertible.star
 -/
 
@@ -694,7 +694,7 @@ instance [InvolutiveStar R] : InvolutiveStar Rᵐᵒᵖ
     where star_involutive r := unop_injective (star_star r.unop)
 
 instance [Monoid R] [StarSemigroup R] : StarSemigroup Rᵐᵒᵖ
-    where star_mul x y := unop_injective (star_mul y.unop x.unop)
+    where star_hMul x y := unop_injective (star_hMul y.unop x.unop)
 
 instance [AddMonoid R] [StarAddMonoid R] : StarAddMonoid Rᵐᵒᵖ
     where star_add x y := unop_injective (star_add x.unop y.unop)

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.star.basic
-! leanprover-community/mathlib commit 31c24aa72e7b3e5ed97a8412470e904f82b81004
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Ring.Aut
 import Mathbin.Algebra.Ring.CompTypeclasses
@@ -14,6 +9,8 @@ import Mathbin.Data.Rat.Cast
 import Mathbin.GroupTheory.GroupAction.Opposite
 import Mathbin.Data.SetLike.Basic
 
+#align_import algebra.star.basic from "leanprover-community/mathlib"@"31c24aa72e7b3e5ed97a8412470e904f82b81004"
+
 /-!
 # Star monoids, rings, and modules
 

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

@@ -73,8 +73,6 @@ namespace StarMemClass
 
 variable {S : Type u} [Star R] [SetLike S R] [hS : StarMemClass S R] (s : S)
 
-include hS
-
 instance : Star s where unit r := ⟨star (r : R), star_mem r.Prop⟩
 
 end StarMemClass
@@ -162,41 +160,54 @@ section StarSemigroup
 
 variable [Semigroup R] [StarSemigroup R]
 
+#print star_star_mul /-
 theorem star_star_mul (x y : R) : star (star x * y) = star y * x := by rw [star_mul, star_star]
 #align star_star_mul star_star_mul
+-/
 
+#print star_mul_star /-
 theorem star_mul_star (x y : R) : star (x * star y) = y * star x := by rw [star_mul, star_star]
 #align star_mul_star star_mul_star
+-/
 
+#print semiconjBy_star_star_star /-
 @[simp]
 theorem semiconjBy_star_star_star {x y z : R} :
     SemiconjBy (star x) (star z) (star y) ↔ SemiconjBy x y z := by
   simp_rw [SemiconjBy, ← star_mul, star_inj, eq_comm]
 #align semiconj_by_star_star_star semiconjBy_star_star_star
+-/
 
 alias semiconjBy_star_star_star ↔ _ SemiconjBy.star_star_star
 #align semiconj_by.star_star_star SemiconjBy.star_star_star
 
+#print commute_star_star /-
 @[simp]
 theorem commute_star_star {x y : R} : Commute (star x) (star y) ↔ Commute x y :=
   semiconjBy_star_star_star
 #align commute_star_star commute_star_star
+-/
 
 alias commute_star_star ↔ _ Commute.star_star
 #align commute.star_star Commute.star_star
 
+#print commute_star_comm /-
 theorem commute_star_comm {x y : R} : Commute (star x) y ↔ Commute x (star y) := by
   rw [← commute_star_star, star_star]
 #align commute_star_comm commute_star_comm
+-/
 
 end StarSemigroup
 
+#print star_mul' /-
 /-- In a commutative ring, make `simp` prefer leaving the order unchanged. -/
 @[simp]
 theorem star_mul' [CommSemigroup R] [StarSemigroup R] (x y : R) : star (x * y) = star x * star y :=
   (star_mul x y).trans (mul_comm _ _)
 #align star_mul' star_mul'
+-/
 
+#print starMulEquiv /-
 /-- `star` as an `mul_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]
 def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
@@ -206,7 +217,9 @@ def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
     toFun := fun x => MulOpposite.op (star x)
     map_mul' := fun x y => (star_mul x y).symm ▸ MulOpposite.op_mul _ _ }
 #align star_mul_equiv starMulEquiv
+-/
 
+#print starMulAut /-
 /-- `star` as a `mul_aut` for commutative `R`. -/
 @[simps apply]
 def starMulAut [CommSemigroup R] [StarSemigroup R] : MulAut R :=
@@ -216,13 +229,16 @@ def starMulAut [CommSemigroup R] [StarSemigroup R] : MulAut R :=
     toFun := star
     map_mul' := star_mul' }
 #align star_mul_aut starMulAut
+-/
 
 variable (R)
 
+#print star_one /-
 @[simp]
 theorem star_one [Monoid R] [StarSemigroup R] : star (1 : R) = 1 :=
   op_injective <| (starMulEquiv : R ≃* Rᵐᵒᵖ).map_one.trans (op_one _).symm
 #align star_one star_one
+-/
 
 variable {R}
 
@@ -234,10 +250,12 @@ theorem star_pow [Monoid R] [StarSemigroup R] (x : R) (n : ℕ) : star (x ^ n) =
 #align star_pow star_pow
 -/
 
+#print star_inv /-
 @[simp]
 theorem star_inv [Group R] [StarSemigroup R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| ((starMulEquiv : R ≃* Rᵐᵒᵖ).toMonoidHom.map_inv x).trans (op_inv (star x)).symm
 #align star_inv star_inv
+-/
 
 #print star_zpow /-
 @[simp]
@@ -247,11 +265,13 @@ theorem star_zpow [Group R] [StarSemigroup R] (x : R) (z : ℤ) : star (x ^ z) =
 #align star_zpow star_zpow
 -/
 
+#print star_div /-
 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]
 theorem star_div [CommGroup R] [StarSemigroup R] (x y : R) : star (x / y) = star x / star y :=
   map_div (starMulAut : R ≃* R) _ _
 #align star_div star_div
+-/
 
 #print starSemigroupOfComm /-
 /-- Any commutative monoid admits the trivial `*`-structure.
@@ -293,6 +313,7 @@ export StarAddMonoid (star_add)
 
 attribute [simp] star_add
 
+#print starAddEquiv /-
 /-- `star` as an `add_equiv` -/
 @[simps apply]
 def starAddEquiv [AddMonoid R] [StarAddMonoid R] : R ≃+ R :=
@@ -302,34 +323,45 @@ def starAddEquiv [AddMonoid R] [StarAddMonoid R] : R ≃+ R :=
     toFun := star
     map_add' := star_add }
 #align star_add_equiv starAddEquiv
+-/
 
 variable (R)
 
+#print star_zero /-
 @[simp]
 theorem star_zero [AddMonoid R] [StarAddMonoid R] : star (0 : R) = 0 :=
   (starAddEquiv : R ≃+ R).map_zero
 #align star_zero star_zero
+-/
 
 variable {R}
 
+#print star_eq_zero /-
 @[simp]
 theorem star_eq_zero [AddMonoid R] [StarAddMonoid R] {x : R} : star x = 0 ↔ x = 0 :=
   starAddEquiv.map_eq_zero_iff
 #align star_eq_zero star_eq_zero
+-/
 
+#print star_ne_zero /-
 theorem star_ne_zero [AddMonoid R] [StarAddMonoid R] {x : R} : star x ≠ 0 ↔ x ≠ 0 :=
   star_eq_zero.Not
 #align star_ne_zero star_ne_zero
+-/
 
+#print star_neg /-
 @[simp]
 theorem star_neg [AddGroup R] [StarAddMonoid R] (r : R) : star (-r) = -star r :=
   (starAddEquiv : R ≃+ R).map_neg _
 #align star_neg star_neg
+-/
 
+#print star_sub /-
 @[simp]
 theorem star_sub [AddGroup R] [StarAddMonoid R] (r s : R) : star (r - s) = star r - star s :=
   (starAddEquiv : R ≃+ R).map_sub _ _
 #align star_sub star_sub
+-/
 
 #print star_nsmul /-
 @[simp]
@@ -361,12 +393,14 @@ instance (priority := 100) StarRing.toStarAddMonoid [NonUnitalSemiring R] [StarR
 #align star_ring.to_star_add_monoid StarRing.toStarAddMonoid
 -/
 
+#print starRingEquiv /-
 /-- `star` as an `ring_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]
 def starRingEquiv [NonUnitalSemiring R] [StarRing R] : R ≃+* Rᵐᵒᵖ :=
   { starAddEquiv.trans (MulOpposite.opAddEquiv : R ≃+ Rᵐᵒᵖ), starMulEquiv with
     toFun := fun x => MulOpposite.op (star x) }
 #align star_ring_equiv starRingEquiv
+-/
 
 #print star_natCast /-
 @[simp, norm_cast]
@@ -375,21 +409,27 @@ theorem star_natCast [Semiring R] [StarRing R] (n : ℕ) : star (n : R) = n :=
 #align star_nat_cast star_natCast
 -/
 
+#print star_intCast /-
 @[simp, norm_cast]
 theorem star_intCast [Ring R] [StarRing R] (z : ℤ) : star (z : R) = z :=
   (congr_arg unop <| map_intCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) z).trans (unop_intCast _)
 #align star_int_cast star_intCast
+-/
 
+#print star_ratCast /-
 @[simp, norm_cast]
 theorem star_ratCast [DivisionRing R] [StarRing R] (r : ℚ) : star (r : R) = r :=
   (congr_arg unop <| map_ratCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) r).trans (unop_ratCast _)
 #align star_rat_cast star_ratCast
+-/
 
+#print starRingAut /-
 /-- `star` as a ring automorphism, for commutative `R`. -/
 @[simps apply]
 def starRingAut [CommSemiring R] [StarRing R] : RingAut R :=
   { starAddEquiv, starMulAut with toFun := star }
 #align star_ring_aut starRingAut
+-/
 
 variable (R)
 
@@ -408,21 +448,24 @@ def starRingEnd [CommSemiring R] [StarRing R] : R →+* R :=
 
 variable {R}
 
--- mathport name: star_ring_end
 scoped[ComplexConjugate] notation "conj" => starRingEnd hole!
 
+#print starRingEnd_apply /-
 /-- This is not a simp lemma, since we usually want simp to keep `star_ring_end` bundled.
  For example, for complex conjugation, we don't want simp to turn `conj x`
  into the bare function `star x` automatically since most lemmas are about `conj x`. -/
 theorem starRingEnd_apply [CommSemiring R] [StarRing R] {x : R} : starRingEnd R x = star x :=
   rfl
 #align star_ring_end_apply starRingEnd_apply
+-/
 
+#print starRingEnd_self_apply /-
 @[simp]
 theorem starRingEnd_self_apply [CommSemiring R] [StarRing R] (x : R) :
     starRingEnd R (starRingEnd R x) = x :=
   star_star x
 #align star_ring_end_self_apply starRingEnd_self_apply
+-/
 
 #print RingHom.involutiveStar /-
 instance RingHom.involutiveStar {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R] :
@@ -434,15 +477,19 @@ instance RingHom.involutiveStar {S : Type _} [NonAssocSemiring S] [CommSemiring
 #align ring_hom.has_involutive_star RingHom.involutiveStar
 -/
 
+#print RingHom.star_def /-
 theorem RingHom.star_def {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) : Star.star f = RingHom.comp (starRingEnd R) f :=
   rfl
 #align ring_hom.star_def RingHom.star_def
+-/
 
+#print RingHom.star_apply /-
 theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) (s : S) : star f s = star (f s) :=
   rfl
 #align ring_hom.star_apply RingHom.star_apply
+-/
 
 -- A more convenient name for complex conjugation
 alias starRingEnd_self_apply ← Complex.conj_conj
@@ -451,10 +498,12 @@ alias starRingEnd_self_apply ← Complex.conj_conj
 alias starRingEnd_self_apply ← IsROrC.conj_conj
 #align is_R_or_C.conj_conj IsROrC.conj_conj
 
+#print star_inv' /-
 @[simp]
 theorem star_inv' [DivisionSemiring R] [StarRing R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| (map_inv₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x).trans (op_inv (star x)).symm
 #align star_inv' star_inv'
+-/
 
 #print star_zpow₀ /-
 @[simp]
@@ -463,21 +512,27 @@ theorem star_zpow₀ [DivisionSemiring R] [StarRing R] (x : R) (z : ℤ) : star
 #align star_zpow₀ star_zpow₀
 -/
 
+#print star_div' /-
 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]
 theorem star_div' [Semifield R] [StarRing R] (x y : R) : star (x / y) = star x / star y :=
   map_div₀ (starRingEnd R) _ _
 #align star_div' star_div'
+-/
 
+#print star_bit0 /-
 @[simp]
 theorem star_bit0 [AddMonoid R] [StarAddMonoid R] (r : R) : star (bit0 r) = bit0 (star r) := by
   simp [bit0]
 #align star_bit0 star_bit0
+-/
 
+#print star_bit1 /-
 @[simp]
 theorem star_bit1 [Semiring R] [StarRing R] (r : R) : star (bit1 r) = bit1 (star r) := by
   simp [bit1]
 #align star_bit1 star_bit1
+-/
 
 #print starRingOfComm /-
 /-- Any commutative semiring admits the trivial `*`-structure.
@@ -513,10 +568,12 @@ export StarModule (star_smul)
 
 attribute [simp] star_smul
 
+#print StarSemigroup.to_starModule /-
 /-- A commutative star monoid is a star module over itself via `monoid.to_mul_action`. -/
 instance StarSemigroup.to_starModule [CommMonoid R] [StarSemigroup R] : StarModule R R :=
   ⟨star_mul'⟩
 #align star_semigroup.to_star_module StarSemigroup.to_starModule
+-/
 
 namespace RingHomInvPair
 
@@ -558,15 +615,19 @@ instance : StarSemigroup Rˣ
   star_involutive u := Units.ext (star_involutive _)
   star_mul u v := Units.ext (star_mul _ _)
 
+#print Units.coe_star /-
 @[simp]
 theorem coe_star (u : Rˣ) : ↑(star u) = (star ↑u : R) :=
   rfl
 #align units.coe_star Units.coe_star
+-/
 
+#print Units.coe_star_inv /-
 @[simp]
 theorem coe_star_inv (u : Rˣ) : ↑(star u)⁻¹ = (star ↑u⁻¹ : R) :=
   rfl
 #align units.coe_star_inv Units.coe_star_inv
+-/
 
 instance {A : Type _} [Star A] [SMul R A] [StarModule R A] : StarModule Rˣ A :=
   ⟨fun u a => (star_smul (↑u) a : _)⟩
@@ -597,17 +658,21 @@ theorem Ring.inverse_star [Semiring R] [StarRing R] (a : R) :
 #align ring.inverse_star Ring.inverse_star
 -/
 
+#print Invertible.star /-
 instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r] :
     Invertible (star r) where
   invOf := star (⅟ r)
   invOf_mul_self := by rw [← star_mul, mul_invOf_self, star_one]
   mul_invOf_self := by rw [← star_mul, invOf_mul_self, star_one]
 #align invertible.star Invertible.star
+-/
 
+#print star_invOf /-
 theorem star_invOf {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r]
     [Invertible (star r)] : star (⅟ r) = ⅟ (star r) := by letI := Invertible.star r;
   convert (rfl : star (⅟ r) = _)
 #align star_inv_of star_invOf
+-/
 
 namespace MulOpposite
 
@@ -642,9 +707,11 @@ instance [Semiring R] [StarRing R] : StarRing Rᵐᵒᵖ :=
 
 end MulOpposite
 
+#print StarSemigroup.toOpposite_starModule /-
 /-- A commutative star monoid is a star module over its opposite via
 `monoid.to_opposite_mul_action`. -/
 instance StarSemigroup.toOpposite_starModule [CommMonoid R] [StarSemigroup R] : StarModule Rᵐᵒᵖ R :=
   ⟨fun r s => star_mul' s r.unop⟩
 #align star_semigroup.to_opposite_star_module StarSemigroup.toOpposite_starModule
+-/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.star.basic
-! leanprover-community/mathlib commit dc7ac07acd84584426773e69e51035bea9a770e7
+! leanprover-community/mathlib commit 31c24aa72e7b3e5ed97a8412470e904f82b81004
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -27,23 +27,12 @@ These are implemented as "mixin" typeclasses, so to summon a star ring (for exam
 one needs to write `(R : Type) [ring R] [star_ring R]`.
 This avoids difficulties with diamond inheritance.
 
-We also define the class `star_ordered_ring R`, which says that the order on `R` respects the
-star operation, i.e. an element `r` is nonnegative iff there exists an `s` such that
-`r = star s * s`.
-
 For now we simply do not introduce notations,
 as different users are expected to feel strongly about the relative merits of
 `r^*`, `r†`, `rᘁ`, and so on.
 
 Our star rings are actually star semirings, but of course we can prove
 `star_neg : star (-r) = - star r` when the underlying semiring is a ring.
-
-## TODO
-
-* In a Banach star algebra without a well-defined square root, the natural ordering is given by the
-positive cone which is the closure of the sums of elements `star r * r`. A weaker version of
-`star_ordered_ring` could be defined for this case. Note that the current definition has the
-advantage of not requiring a topology.
 -/
 
 
@@ -503,67 +492,6 @@ def starRingOfComm {R : Type _} [CommSemiring R] : StarRing R :=
 #align star_ring_of_comm starRingOfComm
 -/
 
-#print StarOrderedRing /-
-/-- An ordered `*`-ring is a ring which is both an `ordered_add_comm_group` and a `*`-ring,
-and `0 ≤ r ↔ ∃ s, r = star s * s`.
--/
-class StarOrderedRing (R : Type u) [NonUnitalSemiring R] [PartialOrder R] extends StarRing R where
-  add_le_add_left : ∀ a b : R, a ≤ b → ∀ c : R, c + a ≤ c + b
-  nonneg_iff : ∀ r : R, 0 ≤ r ↔ ∃ s, r = star s * s
-#align star_ordered_ring StarOrderedRing
--/
-
-namespace StarOrderedRing
-
--- see note [lower instance priority]
-instance (priority := 100) [NonUnitalRing R] [PartialOrder R] [StarOrderedRing R] :
-    OrderedAddCommGroup R :=
-  { show NonUnitalRing R by infer_instance, show PartialOrder R by infer_instance,
-    show StarOrderedRing R by infer_instance with }
-
-end StarOrderedRing
-
-section NonUnitalSemiring
-
-variable [NonUnitalSemiring R] [PartialOrder R] [StarOrderedRing R]
-
-theorem star_mul_self_nonneg {r : R} : 0 ≤ star r * r :=
-  (StarOrderedRing.nonneg_iff _).mpr ⟨r, rfl⟩
-#align star_mul_self_nonneg star_mul_self_nonneg
-
-theorem star_mul_self_nonneg' {r : R} : 0 ≤ r * star r := by nth_rw_rhs 1 [← star_star r];
-  exact star_mul_self_nonneg
-#align star_mul_self_nonneg' star_mul_self_nonneg'
-
-theorem conjugate_nonneg {a : R} (ha : 0 ≤ a) (c : R) : 0 ≤ star c * a * c :=
-  by
-  obtain ⟨x, rfl⟩ := (StarOrderedRing.nonneg_iff _).1 ha
-  exact (StarOrderedRing.nonneg_iff _).2 ⟨x * c, by rw [star_mul, ← mul_assoc, mul_assoc _ _ c]⟩
-#align conjugate_nonneg conjugate_nonneg
-
-theorem conjugate_nonneg' {a : R} (ha : 0 ≤ a) (c : R) : 0 ≤ c * a * star c := by
-  simpa only [star_star] using conjugate_nonneg ha (star c)
-#align conjugate_nonneg' conjugate_nonneg'
-
-end NonUnitalSemiring
-
-section NonUnitalRing
-
-variable [NonUnitalRing R] [PartialOrder R] [StarOrderedRing R]
-
-theorem conjugate_le_conjugate {a b : R} (hab : a ≤ b) (c : R) : star c * a * c ≤ star c * b * c :=
-  by
-  rw [← sub_nonneg] at hab ⊢
-  convert conjugate_nonneg hab c
-  simp only [mul_sub, sub_mul]
-#align conjugate_le_conjugate conjugate_le_conjugate
-
-theorem conjugate_le_conjugate' {a b : R} (hab : a ≤ b) (c : R) : c * a * star c ≤ c * b * star c :=
-  by simpa only [star_star] using conjugate_le_conjugate hab (star c)
-#align conjugate_le_conjugate' conjugate_le_conjugate'
-
-end NonUnitalRing
-
 #print StarModule /-
 /-- A star module `A` over a star ring `R` is a module which is a star add monoid,
 and the two star structures are compatible in the sense

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

@@ -678,7 +678,7 @@ instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Inve
 
 theorem star_invOf {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r]
     [Invertible (star r)] : star (⅟ r) = ⅟ (star r) := by letI := Invertible.star r;
-  convert(rfl : star (⅟ r) = _)
+  convert (rfl : star (⅟ r) = _)
 #align star_inv_of star_invOf
 
 namespace MulOpposite

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

@@ -440,7 +440,7 @@ instance RingHom.involutiveStar {S : Type _} [NonAssocSemiring S] [CommSemiring
     InvolutiveStar (S →+* R)
     where
   toHasStar := { unit := fun f => RingHom.comp (starRingEnd R) f }
-  star_involutive := by intro ; ext;
+  star_involutive := by intro; ext;
     simp only [RingHom.coe_comp, Function.comp_apply, starRingEnd_self_apply]
 #align ring_hom.has_involutive_star RingHom.involutiveStar
 -/
@@ -553,7 +553,7 @@ variable [NonUnitalRing R] [PartialOrder R] [StarOrderedRing R]
 
 theorem conjugate_le_conjugate {a b : R} (hab : a ≤ b) (c : R) : star c * a * c ≤ star c * b * c :=
   by
-  rw [← sub_nonneg] at hab⊢
+  rw [← sub_nonneg] at hab ⊢
   convert conjugate_nonneg hab c
   simp only [mul_sub, sub_mul]
 #align conjugate_le_conjugate conjugate_le_conjugate
@@ -604,7 +604,7 @@ section
 #print StarHomClass /-
 /-- `star_hom_class F R S` states that `F` is a type of `star`-preserving maps from `R` to `S`. -/
 class StarHomClass (F : Type _) (R S : outParam (Type _)) [Star R] [Star S] extends
-  FunLike F R fun _ => S where
+    FunLike F R fun _ => S where
   map_star : ∀ (f : F) (r : R), f (star r) = star (f r)
 #align star_hom_class StarHomClass
 -/

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

@@ -173,95 +173,41 @@ section StarSemigroup
 
 variable [Semigroup R] [StarSemigroup R]
 
-/- warning: star_star_mul -> star_star_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) y)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y) x)
-but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) y)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y) x)
-Case conversion may be inaccurate. Consider using '#align star_star_mul star_star_mulₓ'. -/
 theorem star_star_mul (x y : R) : star (star x * y) = star y * x := by rw [star_mul, star_star]
 #align star_star_mul star_star_mul
 
-/- warning: star_mul_star -> star_mul_star is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) x (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) y (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x))
-but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) x (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) y (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x))
-Case conversion may be inaccurate. Consider using '#align star_mul_star star_mul_starₓ'. -/
 theorem star_mul_star (x y : R) : star (x * star y) = y * star x := by rw [star_mul, star_star]
 #align star_mul_star star_mul_star
 
-/- warning: semiconj_by_star_star_star -> semiconjBy_star_star_star is a dubious translation:
-lean 3 declaration is
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 @[simp]
 theorem semiconjBy_star_star_star {x y z : R} :
     SemiconjBy (star x) (star z) (star y) ↔ SemiconjBy x y z := by
   simp_rw [SemiconjBy, ← star_mul, star_inj, eq_comm]
 #align semiconj_by_star_star_star semiconjBy_star_star_star
 
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 alias semiconjBy_star_star_star ↔ _ SemiconjBy.star_star_star
 #align semiconj_by.star_star_star SemiconjBy.star_star_star
 
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 @[simp]
 theorem commute_star_star {x y : R} : Commute (star x) (star y) ↔ Commute x y :=
   semiconjBy_star_star_star
 #align commute_star_star commute_star_star
 
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 alias commute_star_star ↔ _ Commute.star_star
 #align commute.star_star Commute.star_star
 
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 theorem commute_star_comm {x y : R} : Commute (star x) y ↔ Commute x (star y) := by
   rw [← commute_star_star, star_star]
 #align commute_star_comm commute_star_comm
 
 end StarSemigroup
 
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 /-- In a commutative ring, make `simp` prefer leaving the order unchanged. -/
 @[simp]
 theorem star_mul' [CommSemigroup R] [StarSemigroup R] (x y : R) : star (x * y) = star x * star y :=
   (star_mul x y).trans (mul_comm _ _)
 #align star_mul' star_mul'
 
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 /-- `star` as an `mul_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]
 def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
@@ -272,12 +218,6 @@ def starMulEquiv [Semigroup R] [StarSemigroup R] : R ≃* Rᵐᵒᵖ :=
     map_mul' := fun x y => (star_mul x y).symm ▸ MulOpposite.op_mul _ _ }
 #align star_mul_equiv starMulEquiv
 
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 /-- `star` as a `mul_aut` for commutative `R`. -/
 @[simps apply]
 def starMulAut [CommSemigroup R] [StarSemigroup R] : MulAut R :=
@@ -290,12 +230,6 @@ def starMulAut [CommSemigroup R] [StarSemigroup R] : MulAut R :=
 
 variable (R)
 
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 @[simp]
 theorem star_one [Monoid R] [StarSemigroup R] : star (1 : R) = 1 :=
   op_injective <| (starMulEquiv : R ≃* Rᵐᵒᵖ).map_one.trans (op_one _).symm
@@ -311,12 +245,6 @@ theorem star_pow [Monoid R] [StarSemigroup R] (x : R) (n : ℕ) : star (x ^ n) =
 #align star_pow star_pow
 -/
 
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 @[simp]
 theorem star_inv [Group R] [StarSemigroup R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| ((starMulEquiv : R ≃* Rᵐᵒᵖ).toMonoidHom.map_inv x).trans (op_inv (star x)).symm
@@ -330,12 +258,6 @@ theorem star_zpow [Group R] [StarSemigroup R] (x : R) (z : ℤ) : star (x ^ z) =
 #align star_zpow star_zpow
 -/
 
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 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]
 theorem star_div [CommGroup R] [StarSemigroup R] (x y : R) : star (x / y) = star x / star y :=
@@ -382,12 +304,6 @@ export StarAddMonoid (star_add)
 
 attribute [simp] star_add
 
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 /-- `star` as an `add_equiv` -/
 @[simps apply]
 def starAddEquiv [AddMonoid R] [StarAddMonoid R] : R ≃+ R :=
@@ -400,12 +316,6 @@ def starAddEquiv [AddMonoid R] [StarAddMonoid R] : R ≃+ R :=
 
 variable (R)
 
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 @[simp]
 theorem star_zero [AddMonoid R] [StarAddMonoid R] : star (0 : R) = 0 :=
   (starAddEquiv : R ≃+ R).map_zero
@@ -413,44 +323,20 @@ theorem star_zero [AddMonoid R] [StarAddMonoid R] : star (0 : R) = 0 :=
 
 variable {R}
 
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 @[simp]
 theorem star_eq_zero [AddMonoid R] [StarAddMonoid R] {x : R} : star x = 0 ↔ x = 0 :=
   starAddEquiv.map_eq_zero_iff
 #align star_eq_zero star_eq_zero
 
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 theorem star_ne_zero [AddMonoid R] [StarAddMonoid R] {x : R} : star x ≠ 0 ↔ x ≠ 0 :=
   star_eq_zero.Not
 #align star_ne_zero star_ne_zero
 
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 @[simp]
 theorem star_neg [AddGroup R] [StarAddMonoid R] (r : R) : star (-r) = -star r :=
   (starAddEquiv : R ≃+ R).map_neg _
 #align star_neg star_neg
 
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 @[simp]
 theorem star_sub [AddGroup R] [StarAddMonoid R] (r s : R) : star (r - s) = star r - star s :=
   (starAddEquiv : R ≃+ R).map_sub _ _
@@ -486,12 +372,6 @@ instance (priority := 100) StarRing.toStarAddMonoid [NonUnitalSemiring R] [StarR
 #align star_ring.to_star_add_monoid StarRing.toStarAddMonoid
 -/
 
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 /-- `star` as an `ring_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]
 def starRingEquiv [NonUnitalSemiring R] [StarRing R] : R ≃+* Rᵐᵒᵖ :=
@@ -506,34 +386,16 @@ theorem star_natCast [Semiring R] [StarRing R] (n : ℕ) : star (n : R) = n :=
 #align star_nat_cast star_natCast
 -/
 
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 @[simp, norm_cast]
 theorem star_intCast [Ring R] [StarRing R] (z : ℤ) : star (z : R) = z :=
   (congr_arg unop <| map_intCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) z).trans (unop_intCast _)
 #align star_int_cast star_intCast
 
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 @[simp, norm_cast]
 theorem star_ratCast [DivisionRing R] [StarRing R] (r : ℚ) : star (r : R) = r :=
   (congr_arg unop <| map_ratCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) r).trans (unop_ratCast _)
 #align star_rat_cast star_ratCast
 
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 /-- `star` as a ring automorphism, for commutative `R`. -/
 @[simps apply]
 def starRingAut [CommSemiring R] [StarRing R] : RingAut R :=
@@ -560,12 +422,6 @@ variable {R}
 -- mathport name: star_ring_end
 scoped[ComplexConjugate] notation "conj" => starRingEnd hole!
 
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 /-- This is not a simp lemma, since we usually want simp to keep `star_ring_end` bundled.
  For example, for complex conjugation, we don't want simp to turn `conj x`
  into the bare function `star x` automatically since most lemmas are about `conj x`. -/
@@ -573,12 +429,6 @@ theorem starRingEnd_apply [CommSemiring R] [StarRing R] {x : R} : starRingEnd R
   rfl
 #align star_ring_end_apply starRingEnd_apply
 
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 @[simp]
 theorem starRingEnd_self_apply [CommSemiring R] [StarRing R] (x : R) :
     starRingEnd R (starRingEnd R x) = x :=
@@ -595,53 +445,23 @@ instance RingHom.involutiveStar {S : Type _} [NonAssocSemiring S] [CommSemiring
 #align ring_hom.has_involutive_star RingHom.involutiveStar
 -/
 
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 theorem RingHom.star_def {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) : Star.star f = RingHom.comp (starRingEnd R) f :=
   rfl
 #align ring_hom.star_def RingHom.star_def
 
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 theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) (s : S) : star f s = star (f s) :=
   rfl
 #align ring_hom.star_apply RingHom.star_apply
 
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 -- A more convenient name for complex conjugation
 alias starRingEnd_self_apply ← Complex.conj_conj
 #align complex.conj_conj Complex.conj_conj
 
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 alias starRingEnd_self_apply ← IsROrC.conj_conj
 #align is_R_or_C.conj_conj IsROrC.conj_conj
 
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 @[simp]
 theorem star_inv' [DivisionSemiring R] [StarRing R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| (map_inv₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x).trans (op_inv (star x)).symm
@@ -654,35 +474,17 @@ theorem star_zpow₀ [DivisionSemiring R] [StarRing R] (x : R) (z : ℤ) : star
 #align star_zpow₀ star_zpow₀
 -/
 
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 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]
 theorem star_div' [Semifield R] [StarRing R] (x y : R) : star (x / y) = star x / star y :=
   map_div₀ (starRingEnd R) _ _
 #align star_div' star_div'
 
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 @[simp]
 theorem star_bit0 [AddMonoid R] [StarAddMonoid R] (r : R) : star (bit0 r) = bit0 (star r) := by
   simp [bit0]
 #align star_bit0 star_bit0
 
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 @[simp]
 theorem star_bit1 [Semiring R] [StarRing R] (r : R) : star (bit1 r) = bit1 (star r) := by
   simp [bit1]
@@ -725,44 +527,20 @@ section NonUnitalSemiring
 
 variable [NonUnitalSemiring R] [PartialOrder R] [StarOrderedRing R]
 
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 theorem star_mul_self_nonneg {r : R} : 0 ≤ star r * r :=
   (StarOrderedRing.nonneg_iff _).mpr ⟨r, rfl⟩
 #align star_mul_self_nonneg star_mul_self_nonneg
 
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-Case conversion may be inaccurate. Consider using '#align star_mul_self_nonneg' star_mul_self_nonneg'ₓ'. -/
 theorem star_mul_self_nonneg' {r : R} : 0 ≤ r * star r := by nth_rw_rhs 1 [← star_star r];
   exact star_mul_self_nonneg
 #align star_mul_self_nonneg' star_mul_self_nonneg'
 
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-Case conversion may be inaccurate. Consider using '#align conjugate_nonneg conjugate_nonnegₓ'. -/
 theorem conjugate_nonneg {a : R} (ha : 0 ≤ a) (c : R) : 0 ≤ star c * a * c :=
   by
   obtain ⟨x, rfl⟩ := (StarOrderedRing.nonneg_iff _).1 ha
   exact (StarOrderedRing.nonneg_iff _).2 ⟨x * c, by rw [star_mul, ← mul_assoc, mul_assoc _ _ c]⟩
 #align conjugate_nonneg conjugate_nonneg
 
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-Case conversion may be inaccurate. Consider using '#align conjugate_nonneg' conjugate_nonneg'ₓ'. -/
 theorem conjugate_nonneg' {a : R} (ha : 0 ≤ a) (c : R) : 0 ≤ c * a * star c := by
   simpa only [star_star] using conjugate_nonneg ha (star c)
 #align conjugate_nonneg' conjugate_nonneg'
@@ -773,12 +551,6 @@ section NonUnitalRing
 
 variable [NonUnitalRing R] [PartialOrder R] [StarOrderedRing R]
 
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 theorem conjugate_le_conjugate {a b : R} (hab : a ≤ b) (c : R) : star c * a * c ≤ star c * b * c :=
   by
   rw [← sub_nonneg] at hab⊢
@@ -786,12 +558,6 @@ theorem conjugate_le_conjugate {a b : R} (hab : a ≤ b) (c : R) : star c * a *
   simp only [mul_sub, sub_mul]
 #align conjugate_le_conjugate conjugate_le_conjugate
 
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 theorem conjugate_le_conjugate' {a b : R} (hab : a ≤ b) (c : R) : c * a * star c ≤ c * b * star c :=
   by simpa only [star_star] using conjugate_le_conjugate hab (star c)
 #align conjugate_le_conjugate' conjugate_le_conjugate'
@@ -819,12 +585,6 @@ export StarModule (star_smul)
 
 attribute [simp] star_smul
 
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 /-- A commutative star monoid is a star module over itself via `monoid.to_mul_action`. -/
 instance StarSemigroup.to_starModule [CommMonoid R] [StarSemigroup R] : StarModule R R :=
   ⟨star_mul'⟩
@@ -870,23 +630,11 @@ instance : StarSemigroup Rˣ
   star_involutive u := Units.ext (star_involutive _)
   star_mul u v := Units.ext (star_mul _ _)
 
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 @[simp]
 theorem coe_star (u : Rˣ) : ↑(star u) = (star ↑u : R) :=
   rfl
 #align units.coe_star Units.coe_star
 
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 @[simp]
 theorem coe_star_inv (u : Rˣ) : ↑(star u)⁻¹ = (star ↑u⁻¹ : R) :=
   rfl
@@ -921,12 +669,6 @@ theorem Ring.inverse_star [Semiring R] [StarRing R] (a : R) :
 #align ring.inverse_star Ring.inverse_star
 -/
 
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-  forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (r : R) [_inst_3 : Invertible.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) r], Invertible.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r)
-Case conversion may be inaccurate. Consider using '#align invertible.star Invertible.starₓ'. -/
 instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r] :
     Invertible (star r) where
   invOf := star (⅟ r)
@@ -934,12 +676,6 @@ instance Invertible.star {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Inve
   mul_invOf_self := by rw [← star_mul, invOf_mul_self, star_one]
 #align invertible.star Invertible.star
 
-/- warning: star_inv_of -> star_invOf is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (r : R) [_inst_3 : Invertible.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (MulOneClass.toHasOne.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) r] [_inst_4 : Invertible.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (MulOneClass.toHasOne.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r)], Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) (Invertible.invOf.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (MulOneClass.toHasOne.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) r _inst_3)) (Invertible.invOf.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (MulOneClass.toHasOne.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r) _inst_4)
-but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (r : R) [_inst_3 : Invertible.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) r] [_inst_4 : Invertible.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r)], Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) (Invertible.invOf.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) r _inst_3)) (Invertible.invOf.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r) _inst_4)
-Case conversion may be inaccurate. Consider using '#align star_inv_of star_invOfₓ'. -/
 theorem star_invOf {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r]
     [Invertible (star r)] : star (⅟ r) = ⅟ (star r) := by letI := Invertible.star r;
   convert(rfl : star (⅟ r) = _)
@@ -978,12 +714,6 @@ instance [Semiring R] [StarRing R] : StarRing Rᵐᵒᵖ :=
 
 end MulOpposite
 
-/- warning: star_semigroup.to_opposite_star_module -> StarSemigroup.toOpposite_starModule is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : CommMonoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1))], StarModule.{u1, u1} (MulOpposite.{u1} R) R (MulOpposite.hasStar.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1)) _inst_2))) (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1)) _inst_2)) (Mul.toHasOppositeSMul.{u1} R (MulOneClass.toHasMul.{u1} R (Monoid.toMulOneClass.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1))))
-but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommMonoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1))], StarModule.{u1, u1} (MulOpposite.{u1} R) R (MulOpposite.instStarMulOpposite.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1)) _inst_2))) (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1)) _inst_2)) (Mul.toHasOppositeSMul.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R (CommMonoid.toMonoid.{u1} R _inst_1))))
-Case conversion may be inaccurate. Consider using '#align star_semigroup.to_opposite_star_module StarSemigroup.toOpposite_starModuleₓ'. -/
 /-- A commutative star monoid is a star module over its opposite via
 `monoid.to_opposite_mul_action`. -/
 instance StarSemigroup.toOpposite_starModule [CommMonoid R] [StarSemigroup R] : StarModule Rᵐᵒᵖ R :=

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

@@ -590,9 +590,7 @@ instance RingHom.involutiveStar {S : Type _} [NonAssocSemiring S] [CommSemiring
     InvolutiveStar (S →+* R)
     where
   toHasStar := { unit := fun f => RingHom.comp (starRingEnd R) f }
-  star_involutive := by
-    intro
-    ext
+  star_involutive := by intro ; ext;
     simp only [RingHom.coe_comp, Function.comp_apply, starRingEnd_self_apply]
 #align ring_hom.has_involutive_star RingHom.involutiveStar
 -/
@@ -743,9 +741,7 @@ lean 3 declaration is
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) r (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r))
 Case conversion may be inaccurate. Consider using '#align star_mul_self_nonneg' star_mul_self_nonneg'ₓ'. -/
-theorem star_mul_self_nonneg' {r : R} : 0 ≤ r * star r :=
-  by
-  nth_rw_rhs 1 [← star_star r]
+theorem star_mul_self_nonneg' {r : R} : 0 ≤ r * star r := by nth_rw_rhs 1 [← star_star r];
   exact star_mul_self_nonneg
 #align star_mul_self_nonneg' star_mul_self_nonneg'
 
@@ -945,9 +941,7 @@ but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (r : R) [_inst_3 : Invertible.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) r] [_inst_4 : Invertible.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r)], Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) (Invertible.invOf.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) r _inst_3)) (Invertible.invOf.{u1} R (MulOneClass.toMul.{u1} R (Monoid.toMulOneClass.{u1} R _inst_1)) (Monoid.toOne.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) r) _inst_4)
 Case conversion may be inaccurate. Consider using '#align star_inv_of star_invOfₓ'. -/
 theorem star_invOf {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible r]
-    [Invertible (star r)] : star (⅟ r) = ⅟ (star r) :=
-  by
-  letI := Invertible.star r
+    [Invertible (star r)] : star (⅟ r) = ⅟ (star r) := by letI := Invertible.star r;
   convert(rfl : star (⅟ r) = _)
 #align star_inv_of star_invOf
 

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

@@ -564,7 +564,7 @@ scoped[ComplexConjugate] notation "conj" => starRingEnd hole!
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (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_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1)) _inst_2))) x)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (Star.star.{u1} R (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))) x)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (Star.star.{u1} R (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))) x)
 Case conversion may be inaccurate. Consider using '#align star_ring_end_apply starRingEnd_applyₓ'. -/
 /-- This is not a simp lemma, since we usually want simp to keep `star_ring_end` bundled.
  For example, for complex conjugation, we don't want simp to turn `conj x`
@@ -577,7 +577,7 @@ theorem starRingEnd_apply [CommSemiring R] [StarRing R] {x : R} : starRingEnd R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align star_ring_end_self_apply starRingEnd_self_applyₓ'. -/
 @[simp]
 theorem starRingEnd_self_apply [CommSemiring R] [StarRing R] (x : R) :
@@ -612,7 +612,7 @@ theorem RingHom.star_def {S : Type _} [NonAssocSemiring S] [CommSemiring R] [Sta
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : NonAssocSemiring.{u2} S] [_inst_2 : CommSemiring.{u1} R] [_inst_3 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_2))] (f : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (s : S), Eq.{succ u1} R (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (fun (_x : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (Star.star.{max u2 u1} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (InvolutiveStar.toHasStar.{max u2 u1} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (RingHom.involutiveStar.{u1, u2} R S _inst_1 _inst_2 _inst_3)) f) s) (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_2))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_2)) _inst_3))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (fun (_x : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) f s))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : NonAssocSemiring.{u1} S] [_inst_2 : CommSemiring.{u2} R] [_inst_3 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_2))] (f : RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (s : S), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) (Star.star.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (InvolutiveStar.toStar.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHom.involutiveStar.{u2, u1} R S _inst_1 _inst_2 _inst_3)) f) s) (Star.star.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (InvolutiveStar.toStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (StarAddMonoid.toInvolutiveStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (AddMonoidWithOne.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (NonAssocSemiring.toAddCommMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) _inst_2))))) (StarRing.toStarAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (CommSemiring.toNonUnitalCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) _inst_2)) _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) f s))
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : NonAssocSemiring.{u1} S] [_inst_2 : CommSemiring.{u2} R] [_inst_3 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_2))] (f : RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (s : S), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) (Star.star.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (InvolutiveStar.toStar.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHom.involutiveStar.{u2, u1} R S _inst_1 _inst_2 _inst_3)) f) s) (Star.star.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (InvolutiveStar.toStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (StarAddMonoid.toInvolutiveStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (AddMonoidWithOne.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (NonAssocSemiring.toAddCommMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) _inst_2))))) (StarRing.toStarAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) (CommSemiring.toNonUnitalCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) s) _inst_2)) _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) f s))
 Case conversion may be inaccurate. Consider using '#align ring_hom.star_apply RingHom.star_applyₓ'. -/
 theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) (s : S) : star f s = star (f s) :=
@@ -623,7 +623,7 @@ theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align complex.conj_conj Complex.conj_conjₓ'. -/
 -- A more convenient name for complex conjugation
 alias starRingEnd_self_apply ← Complex.conj_conj
@@ -633,7 +633,7 @@ alias starRingEnd_self_apply ← Complex.conj_conj
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align is_R_or_C.conj_conj IsROrC.conj_conjₓ'. -/
 alias starRingEnd_self_apply ← IsROrC.conj_conj
 #align is_R_or_C.conj_conj IsROrC.conj_conj

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -729,7 +729,7 @@ variable [NonUnitalSemiring R] [PartialOrder R] [StarOrderedRing R]
 
 /- warning: star_mul_self_nonneg -> star_mul_self_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r) r)
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r) r)
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r) r)
 Case conversion may be inaccurate. Consider using '#align star_mul_self_nonneg star_mul_self_nonnegₓ'. -/
@@ -739,7 +739,7 @@ theorem star_mul_self_nonneg {r : R} : 0 ≤ star r * r :=
 
 /- warning: star_mul_self_nonneg' -> star_mul_self_nonneg' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) r (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r))
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) r (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {r : R}, LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) r (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) r))
 Case conversion may be inaccurate. Consider using '#align star_mul_self_nonneg' star_mul_self_nonneg'ₓ'. -/
@@ -751,7 +751,7 @@ theorem star_mul_self_nonneg' {r : R} : 0 ≤ r * star r :=
 
 /- warning: conjugate_nonneg -> conjugate_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {a : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) a) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) c) a) c))
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {a : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) a) -> (forall (c : R), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) c) a) c))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {a : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) a) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) c) a) c))
 Case conversion may be inaccurate. Consider using '#align conjugate_nonneg conjugate_nonnegₓ'. -/
@@ -763,7 +763,7 @@ theorem conjugate_nonneg {a : R} (ha : 0 ≤ a) (c : R) : 0 ≤ star c * a * c :
 
 /- warning: conjugate_nonneg' -> conjugate_nonneg' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {a : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) a) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) c a) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) c)))
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {a : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) a) -> (forall (c : R), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) c a) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) c)))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R _inst_1 _inst_2] {a : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) a) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (SemigroupWithZero.toZero.{u1} R (NonUnitalSemiring.toSemigroupWithZero.{u1} R _inst_1)))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) c a) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R _inst_1 (StarOrderedRing.toStarRing.{u1} R _inst_1 _inst_2 _inst_3)))) c)))
 Case conversion may be inaccurate. Consider using '#align conjugate_nonneg' conjugate_nonneg'ₓ'. -/
@@ -779,7 +779,7 @@ variable [NonUnitalRing R] [PartialOrder R] [StarOrderedRing R]
 
 /- warning: conjugate_le_conjugate -> conjugate_le_conjugate is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalRing.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2] {a : R} {b : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) a b) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c) a) c) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c) b) c))
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalRing.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2] {a : R} {b : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) a b) -> (forall (c : R), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c) a) c) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c) b) c))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalRing.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2] {a : R} {b : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) a b) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (SubNegMonoid.toAddMonoid.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddCommGroup.toAddGroup.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StarOrderedRing.instOrderedAddCommGroup.{u1} R _inst_1 _inst_2 _inst_3))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c) a) c) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (SubNegMonoid.toAddMonoid.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddCommGroup.toAddGroup.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StarOrderedRing.instOrderedAddCommGroup.{u1} R _inst_1 _inst_2 _inst_3))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c) b) c))
 Case conversion may be inaccurate. Consider using '#align conjugate_le_conjugate conjugate_le_conjugateₓ'. -/
@@ -792,7 +792,7 @@ theorem conjugate_le_conjugate {a b : R} (hab : a ≤ b) (c : R) : star c * a *
 
 /- warning: conjugate_le_conjugate' -> conjugate_le_conjugate' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalRing.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2] {a : R} {b : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) a b) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) c a) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) c b) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c)))
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalRing.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2] {a : R} {b : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) a b) -> (forall (c : R), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) c a) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))))) c b) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c)))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : NonUnitalRing.{u1} R] [_inst_2 : PartialOrder.{u1} R] [_inst_3 : StarOrderedRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2] {a : R} {b : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) a b) -> (forall (c : R), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) c a) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (SubNegMonoid.toAddMonoid.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddCommGroup.toAddGroup.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StarOrderedRing.instOrderedAddCommGroup.{u1} R _inst_1 _inst_2 _inst_3))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonUnitalRing.toNonUnitalNonAssocRing.{u1} R _inst_1))) c b) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (SubNegMonoid.toAddMonoid.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddCommGroup.toAddGroup.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StarOrderedRing.instOrderedAddCommGroup.{u1} R _inst_1 _inst_2 _inst_3))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) (StarOrderedRing.toStarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) c)))
 Case conversion may be inaccurate. Consider using '#align conjugate_le_conjugate' conjugate_le_conjugate'ₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

@@ -510,7 +510,7 @@ theorem star_natCast [Semiring R] [StarRing R] (n : ℕ) : star (n : R) = n :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))] (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1)) _inst_2))) ((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)))))) z)) ((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)))))) z)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))] (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1)) _inst_2))) (Int.cast.{u1} R (Ring.toIntCast.{u1} R _inst_1) z)) (Int.cast.{u1} R (Ring.toIntCast.{u1} R _inst_1) z)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))] (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)) _inst_2))) (Int.cast.{u1} R (Ring.toIntCast.{u1} R _inst_1) z)) (Int.cast.{u1} R (Ring.toIntCast.{u1} R _inst_1) z)
 Case conversion may be inaccurate. Consider using '#align star_int_cast star_intCastₓ'. -/
 @[simp, norm_cast]
 theorem star_intCast [Ring R] [StarRing R] (z : ℤ) : star (z : R) = z :=
@@ -521,7 +521,7 @@ theorem star_intCast [Ring R] [StarRing R] (z : ℤ) : star (z : R) = z :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (r : Rat), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) ((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)))) r)) ((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)))) r)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (r : Rat), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (Rat.cast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)) (Rat.cast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)
+  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (DivisionRing.toDivisionSemiring.{u1} R _inst_1)))] (r : Rat), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (DivisionRing.toDivisionSemiring.{u1} R _inst_1))) _inst_2))) (Rat.cast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)) (Rat.cast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)
 Case conversion may be inaccurate. Consider using '#align star_rat_cast star_ratCastₓ'. -/
 @[simp, norm_cast]
 theorem star_ratCast [DivisionRing R] [StarRing R] (r : ℚ) : star (r : R) = r :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

@@ -113,10 +113,12 @@ theorem star_injective [InvolutiveStar R] : Function.Injective (star : R → R)
 #align star_injective star_injective
 -/
 
+#print star_inj /-
 @[simp]
 theorem star_inj [InvolutiveStar R] {x y : R} : star x = star y ↔ x = y :=
   star_injective.eq_iff
 #align star_inj star_inj
+-/
 
 #print Equiv.star /-
 /-- `star` as an equivalence when it is involutive. -/
@@ -171,29 +173,71 @@ section StarSemigroup
 
 variable [Semigroup R] [StarSemigroup R]
 
+/- warning: star_star_mul -> star_star_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) y)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y) x)
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) y)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y) x)
+Case conversion may be inaccurate. Consider using '#align star_star_mul star_star_mulₓ'. -/
 theorem star_star_mul (x y : R) : star (star x * y) = star y * x := by rw [star_mul, star_star]
 #align star_star_mul star_star_mul
 
+/- warning: star_mul_star -> star_mul_star is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) x (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1)) y (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x))
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) x (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toMul.{u1} R _inst_1)) y (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x))
+Case conversion may be inaccurate. Consider using '#align star_mul_star star_mul_starₓ'. -/
 theorem star_mul_star (x y : R) : star (x * star y) = y * star x := by rw [star_mul, star_star]
 #align star_mul_star star_mul_star
 
+/- warning: semiconj_by_star_star_star -> semiconjBy_star_star_star is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R} {z : R}, Iff (SemiconjBy.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) z) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y)) (SemiconjBy.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) x y z)
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R} {z : R}, Iff (SemiconjBy.{u1} R (Semigroup.toMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) z) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y)) (SemiconjBy.{u1} R (Semigroup.toMul.{u1} R _inst_1) x y z)
+Case conversion may be inaccurate. Consider using '#align semiconj_by_star_star_star semiconjBy_star_star_starₓ'. -/
 @[simp]
 theorem semiconjBy_star_star_star {x y z : R} :
     SemiconjBy (star x) (star z) (star y) ↔ SemiconjBy x y z := by
   simp_rw [SemiconjBy, ← star_mul, star_inj, eq_comm]
 #align semiconj_by_star_star_star semiconjBy_star_star_star
 
+/- warning: semiconj_by.star_star_star -> SemiconjBy.star_star_star is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R} {z : R}, (SemiconjBy.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) x y z) -> (SemiconjBy.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) z) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y))
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R} {z : R}, (SemiconjBy.{u1} R (Semigroup.toMul.{u1} R _inst_1) x y z) -> (SemiconjBy.{u1} R (Semigroup.toMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) z) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y))
+Case conversion may be inaccurate. Consider using '#align semiconj_by.star_star_star SemiconjBy.star_star_starₓ'. -/
 alias semiconjBy_star_star_star ↔ _ SemiconjBy.star_star_star
 #align semiconj_by.star_star_star SemiconjBy.star_star_star
 
+/- warning: commute_star_star -> commute_star_star is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R}, Iff (Commute.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y)) (Commute.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) x y)
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R}, Iff (Commute.{u1} R (Semigroup.toMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y)) (Commute.{u1} R (Semigroup.toMul.{u1} R _inst_1) x y)
+Case conversion may be inaccurate. Consider using '#align commute_star_star commute_star_starₓ'. -/
 @[simp]
 theorem commute_star_star {x y : R} : Commute (star x) (star y) ↔ Commute x y :=
   semiconjBy_star_star_star
 #align commute_star_star commute_star_star
 
+/- warning: commute.star_star -> Commute.star_star is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R}, (Commute.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) x y) -> (Commute.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y))
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R}, (Commute.{u1} R (Semigroup.toMul.{u1} R _inst_1) x y) -> (Commute.{u1} R (Semigroup.toMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y))
+Case conversion may be inaccurate. Consider using '#align commute.star_star Commute.star_starₓ'. -/
 alias commute_star_star ↔ _ Commute.star_star
 #align commute.star_star Commute.star_star
 
+/- warning: commute_star_comm -> commute_star_comm is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R}, Iff (Commute.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) x) y) (Commute.{u1} R (Semigroup.toHasMul.{u1} R _inst_1) x (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R _inst_1 _inst_2)) y))
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1] {x : R} {y : R}, Iff (Commute.{u1} R (Semigroup.toMul.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) x) y) (Commute.{u1} R (Semigroup.toMul.{u1} R _inst_1) x (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R _inst_1 _inst_2)) y))
+Case conversion may be inaccurate. Consider using '#align commute_star_comm commute_star_commₓ'. -/
 theorem commute_star_comm {x y : R} : Commute (star x) y ↔ Commute x (star y) := by
   rw [← commute_star_star, star_star]
 #align commute_star_comm commute_star_comm

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.star.basic
-! leanprover-community/mathlib commit 30413fc89f202a090a54d78e540963ed3de0056e
+! leanprover-community/mathlib commit dc7ac07acd84584426773e69e51035bea9a770e7
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -113,6 +113,11 @@ theorem star_injective [InvolutiveStar R] : Function.Injective (star : R → R)
 #align star_injective star_injective
 -/
 
+@[simp]
+theorem star_inj [InvolutiveStar R] {x y : R} : star x = star y ↔ x = y :=
+  star_injective.eq_iff
+#align star_inj star_inj
+
 #print Equiv.star /-
 /-- `star` as an equivalence when it is involutive. -/
 protected def Equiv.star [InvolutiveStar R] : Equiv.Perm R :=
@@ -162,6 +167,39 @@ export StarSemigroup (star_mul)
 
 attribute [simp] star_mul
 
+section StarSemigroup
+
+variable [Semigroup R] [StarSemigroup R]
+
+theorem star_star_mul (x y : R) : star (star x * y) = star y * x := by rw [star_mul, star_star]
+#align star_star_mul star_star_mul
+
+theorem star_mul_star (x y : R) : star (x * star y) = y * star x := by rw [star_mul, star_star]
+#align star_mul_star star_mul_star
+
+@[simp]
+theorem semiconjBy_star_star_star {x y z : R} :
+    SemiconjBy (star x) (star z) (star y) ↔ SemiconjBy x y z := by
+  simp_rw [SemiconjBy, ← star_mul, star_inj, eq_comm]
+#align semiconj_by_star_star_star semiconjBy_star_star_star
+
+alias semiconjBy_star_star_star ↔ _ SemiconjBy.star_star_star
+#align semiconj_by.star_star_star SemiconjBy.star_star_star
+
+@[simp]
+theorem commute_star_star {x y : R} : Commute (star x) (star y) ↔ Commute x y :=
+  semiconjBy_star_star_star
+#align commute_star_star commute_star_star
+
+alias commute_star_star ↔ _ Commute.star_star
+#align commute.star_star Commute.star_star
+
+theorem commute_star_comm {x y : R} : Commute (star x) y ↔ Commute x (star y) := by
+  rw [← commute_star_star, star_star]
+#align commute_star_comm commute_star_comm
+
+end StarSemigroup
+
 /- warning: star_mul' -> star_mul' is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R (CommSemigroup.toSemigroup.{u1} R _inst_1)] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (CommSemigroup.toSemigroup.{u1} R _inst_1) _inst_2)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R (CommSemigroup.toSemigroup.{u1} R _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Semigroup.toHasMul.{u1} R (CommSemigroup.toSemigroup.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (CommSemigroup.toSemigroup.{u1} R _inst_1) _inst_2)) x) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (CommSemigroup.toSemigroup.{u1} R _inst_1) _inst_2)) y))

mathlib commit https://github.com/leanprover-community/mathlib/commit/2651125b48fc5c170ab1111afd0817c903b1fc6c

@@ -807,7 +807,7 @@ theorem coe_star (u : Rˣ) : ↑(star u) = (star ↑u : R) :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (u : Units.{u1} R _inst_1), Eq.{succ u1} R ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R _inst_1) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R _inst_1) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R _inst_1) R (coeBase.{succ u1, succ u1} (Units.{u1} R _inst_1) R (Units.hasCoe.{u1} R _inst_1)))) (Inv.inv.{u1} (Units.{u1} R _inst_1) (Units.hasInv.{u1} R _inst_1) (Star.star.{u1} (Units.{u1} R _inst_1) (InvolutiveStar.toHasStar.{u1} (Units.{u1} R _inst_1) (StarSemigroup.toHasInvolutiveStar.{u1} (Units.{u1} R _inst_1) (Monoid.toSemigroup.{u1} (Units.{u1} R _inst_1) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R _inst_1) (Group.toDivInvMonoid.{u1} (Units.{u1} R _inst_1) (Units.group.{u1} R _inst_1)))) (Units.starSemigroup.{u1} R _inst_1 _inst_2))) u))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarSemigroup.toHasInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} R _inst_1) R (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} R _inst_1) R (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} R _inst_1) R (coeBase.{succ u1, succ u1} (Units.{u1} R _inst_1) R (Units.hasCoe.{u1} R _inst_1)))) (Inv.inv.{u1} (Units.{u1} R _inst_1) (Units.hasInv.{u1} R _inst_1) u)))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (u : Units.{u1} R _inst_1), Eq.{succ u1} R (Units.val.{u1} R _inst_1 (Inv.inv.{u1} (Units.{u1} R _inst_1) (Units.instInvUnits.{u1} R _inst_1) (Star.star.{u1} (Units.{u1} R _inst_1) (InvolutiveStar.toStar.{u1} (Units.{u1} R _inst_1) (StarSemigroup.toInvolutiveStar.{u1} (Units.{u1} R _inst_1) (Monoid.toSemigroup.{u1} (Units.{u1} R _inst_1) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R _inst_1) (Group.toDivInvMonoid.{u1} (Units.{u1} R _inst_1) (Units.instGroupUnits.{u1} R _inst_1)))) (Units.instStarSemigroupUnitsToSemigroupToMonoidToDivInvMonoidInstGroupUnits.{u1} R _inst_1 _inst_2))) u))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) (Units.val.{u1} R _inst_1 (Inv.inv.{u1} (Units.{u1} R _inst_1) (Units.instInvUnits.{u1} R _inst_1) u)))
+  forall {R : Type.{u1}} [_inst_1 : Monoid.{u1} R] [_inst_2 : StarSemigroup.{u1} R (Monoid.toSemigroup.{u1} R _inst_1)] (u : Units.{u1} R _inst_1), Eq.{succ u1} R (Units.val.{u1} R _inst_1 (Inv.inv.{u1} (Units.{u1} R _inst_1) (Units.instInv.{u1} R _inst_1) (Star.star.{u1} (Units.{u1} R _inst_1) (InvolutiveStar.toStar.{u1} (Units.{u1} R _inst_1) (StarSemigroup.toInvolutiveStar.{u1} (Units.{u1} R _inst_1) (Monoid.toSemigroup.{u1} (Units.{u1} R _inst_1) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R _inst_1) (Group.toDivInvMonoid.{u1} (Units.{u1} R _inst_1) (Units.instGroupUnits.{u1} R _inst_1)))) (Units.instStarSemigroupUnitsToSemigroupToMonoidToDivInvMonoidInstGroupUnits.{u1} R _inst_1 _inst_2))) u))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarSemigroup.toInvolutiveStar.{u1} R (Monoid.toSemigroup.{u1} R _inst_1) _inst_2)) (Units.val.{u1} R _inst_1 (Inv.inv.{u1} (Units.{u1} R _inst_1) (Units.instInv.{u1} R _inst_1) u)))
 Case conversion may be inaccurate. Consider using '#align units.coe_star_inv Units.coe_star_invₓ'. -/
 @[simp]
 theorem coe_star_inv (u : Rˣ) : ↑(star u)⁻¹ = (star ↑u⁻¹ : R) :=

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

@@ -426,7 +426,7 @@ theorem star_natCast [Semiring R] [StarRing R] (n : ℕ) : star (n : R) = n :=
 
 /- warning: star_int_cast -> star_intCast is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))] (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1)) _inst_2))) ((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)))))) z)) ((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)))))) z)
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))] (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1)) _inst_2))) ((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)))))) z)) ((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)))))) z)
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1))] (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R _inst_1)) _inst_2))) (Int.cast.{u1} R (Ring.toIntCast.{u1} R _inst_1) z)) (Int.cast.{u1} R (Ring.toIntCast.{u1} R _inst_1) z)
 Case conversion may be inaccurate. Consider using '#align star_int_cast star_intCastₓ'. -/

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

@@ -560,29 +560,25 @@ alias starRingEnd_self_apply ← IsROrC.conj_conj
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) x)) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) x))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (x : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (Inv.inv.{u1} R (DivisionRing.toInv.{u1} R _inst_1) x)) (Inv.inv.{u1} R (DivisionRing.toInv.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) x))
+  forall {R : Type.{u1}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) (Inv.inv.{u1} R (DivisionSemiring.toInv.{u1} R _inst_1) x)) (Inv.inv.{u1} R (DivisionSemiring.toInv.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) x))
 Case conversion may be inaccurate. Consider using '#align star_inv' star_inv'ₓ'. -/
 @[simp]
 theorem star_inv' [DivisionSemiring R] [StarRing R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| (map_inv₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x).trans (op_inv (star x)).symm
 #align star_inv' star_inv'
 
-/- warning: star_zpow₀ -> star_zpow₀ is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))] (x : R) (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1)))) x z)) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1)))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) x) z)
-but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (x : R) (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1))) x z)) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) x) z)
-Case conversion may be inaccurate. Consider using '#align star_zpow₀ star_zpow₀ₓ'. -/
+#print star_zpow₀ /-
 @[simp]
 theorem star_zpow₀ [DivisionSemiring R] [StarRing R] (x : R) (z : ℤ) : star (x ^ z) = star x ^ z :=
   op_injective <| (map_zpow₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x z).trans (op_zpow (star x) z).symm
 #align star_zpow₀ star_zpow₀
+-/
 
 /- warning: star_div' -> star_div' is a dubious translation:
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semifield.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1)))] (x : R) (y : R), Eq.{succ u1} R (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 (Semifield.toCommSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1))))) x y)) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1))))) (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 (Semifield.toCommSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) x) (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 (Semifield.toCommSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) y))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Field.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1))))] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (Field.toDiv.{u1} R _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (Field.toDiv.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) y))
+  forall {R : Type.{u1}} [_inst_1 : Semifield.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1)))] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (Semifield.toDiv.{u1} R _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (Semifield.toDiv.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) y))
 Case conversion may be inaccurate. Consider using '#align star_div' star_div'ₓ'. -/
 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

@@ -178,7 +178,7 @@ theorem star_mul' [CommSemigroup R] [StarSemigroup R] (x y : R) : star (x * y) =
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1], MulEquiv.{u1, u1} R (MulOpposite.{u1} R) (Semigroup.toHasMul.{u1} R _inst_1) (MulOpposite.hasMul.{u1} R (Semigroup.toHasMul.{u1} R _inst_1))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1], MulEquiv.{u1, u1} R (MulOpposite.{u1} R) (Semigroup.toMul.{u1} R _inst_1) (MulOpposite.instMulMulOpposite.{u1} R (Semigroup.toMul.{u1} R _inst_1))
+  forall {R : Type.{u1}} [_inst_1 : Semigroup.{u1} R] [_inst_2 : StarSemigroup.{u1} R _inst_1], MulEquiv.{u1, u1} R (MulOpposite.{u1} R) (Semigroup.toMul.{u1} R _inst_1) (MulOpposite.mul.{u1} R (Semigroup.toMul.{u1} R _inst_1))
 Case conversion may be inaccurate. Consider using '#align star_mul_equiv starMulEquivₓ'. -/
 /-- `star` as an `mul_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]
@@ -408,7 +408,7 @@ instance (priority := 100) StarRing.toStarAddMonoid [NonUnitalSemiring R] [StarR
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : StarRing.{u1} R _inst_1], RingEquiv.{u1, u1} R (MulOpposite.{u1} R) (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (MulOpposite.hasMul.{u1} R (Distrib.toHasMul.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)))) (MulOpposite.hasAdd.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : StarRing.{u1} R _inst_1], RingEquiv.{u1, u1} R (MulOpposite.{u1} R) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)) (MulOpposite.instMulMulOpposite.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (MulOpposite.instAddMulOpposite.{u1} R (Distrib.toAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))))
+  forall {R : Type.{u1}} [_inst_1 : NonUnitalSemiring.{u1} R] [_inst_2 : StarRing.{u1} R _inst_1], RingEquiv.{u1, u1} R (MulOpposite.{u1} R) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1)) (MulOpposite.mul.{u1} R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))) (MulOpposite.add.{u1} R (Distrib.toAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R _inst_1))))
 Case conversion may be inaccurate. Consider using '#align star_ring_equiv starRingEquivₓ'. -/
 /-- `star` as an `ring_equiv` from `R` to `Rᵐᵒᵖ` -/
 @[simps apply]

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.star.basic
-! leanprover-community/mathlib commit be24ec5de6701447e5df5ca75400ffee19d65659
+! leanprover-community/mathlib commit 30413fc89f202a090a54d78e540963ed3de0056e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -558,31 +558,35 @@ alias starRingEnd_self_apply ← IsROrC.conj_conj
 
 /- warning: star_inv' -> star_inv' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (x : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) x)) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) x))
+  forall {R : Type.{u1}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) x)) (Inv.inv.{u1} R (DivInvMonoid.toHasInv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) x))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (x : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (Inv.inv.{u1} R (DivisionRing.toInv.{u1} R _inst_1) x)) (Inv.inv.{u1} R (DivisionRing.toInv.{u1} R _inst_1) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) x))
 Case conversion may be inaccurate. Consider using '#align star_inv' star_inv'ₓ'. -/
 @[simp]
-theorem star_inv' [DivisionRing R] [StarRing R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
+theorem star_inv' [DivisionSemiring R] [StarRing R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| (map_inv₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x).trans (op_inv (star x)).symm
 #align star_inv' star_inv'
 
-#print star_zpow₀ /-
+/- warning: star_zpow₀ -> star_zpow₀ is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : DivisionSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))] (x : R) (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1)))) x z)) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R _inst_1)))) (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (Semiring.toNonUnitalSemiring.{u1} R (DivisionSemiring.toSemiring.{u1} R _inst_1)) _inst_2))) x) z)
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (x : R) (z : Int), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1))) x z)) (HPow.hPow.{u1, 0, u1} R Int R (instHPow.{u1, 0} R Int (DivInvMonoid.Pow.{u1} R (DivisionRing.toDivInvMonoid.{u1} R _inst_1))) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) x) z)
+Case conversion may be inaccurate. Consider using '#align star_zpow₀ star_zpow₀ₓ'. -/
 @[simp]
-theorem star_zpow₀ [DivisionRing R] [StarRing R] (x : R) (z : ℤ) : star (x ^ z) = star x ^ z :=
+theorem star_zpow₀ [DivisionSemiring R] [StarRing R] (x : R) (z : ℤ) : star (x ^ z) = star x ^ z :=
   op_injective <| (map_zpow₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x z).trans (op_zpow (star x) z).symm
 #align star_zpow₀ star_zpow₀
--/
 
 /- warning: star_div' -> star_div' is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Field.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1))))] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (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 (Field.toCommRing.{u1} R _inst_1))))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R (Field.toDivisionRing.{u1} R _inst_1)))) x y)) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R (Field.toDivisionRing.{u1} R _inst_1)))) (Star.star.{u1} R (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 (Field.toCommRing.{u1} R _inst_1))))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) x) (Star.star.{u1} R (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 (Field.toCommRing.{u1} R _inst_1))))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) y))
+  forall {R : Type.{u1}} [_inst_1 : Semifield.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1)))] (x : R) (y : R), Eq.{succ u1} R (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 (Semifield.toCommSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1))))) x y)) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (GroupWithZero.toDivInvMonoid.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R (Semifield.toDivisionSemiring.{u1} R _inst_1))))) (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 (Semifield.toCommSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) x) (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 (Semifield.toCommSemiring.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R (Semifield.toCommSemiring.{u1} R _inst_1))) _inst_2))) y))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : Field.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1))))] (x : R) (y : R), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (Field.toDiv.{u1} R _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (Field.toDiv.{u1} R _inst_1)) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) x) (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (NonUnitalCommRing.toNonUnitalRing.{u1} R (CommRing.toNonUnitalCommRing.{u1} R (Field.toCommRing.{u1} R _inst_1)))) _inst_2))) y))
 Case conversion may be inaccurate. Consider using '#align star_div' star_div'ₓ'. -/
 /-- When multiplication is commutative, `star` preserves division. -/
 @[simp]
-theorem star_div' [Field R] [StarRing R] (x y : R) : star (x / y) = star x / star y :=
+theorem star_div' [Semifield R] [StarRing R] (x y : R) : star (x / y) = star x / star y :=
   map_div₀ (starRingEnd R) _ _
 #align star_div' star_div'
 

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

@@ -866,7 +866,7 @@ theorem star_invOf {R : Type _} [Monoid R] [StarSemigroup R] (r : R) [Invertible
     [Invertible (star r)] : star (⅟ r) = ⅟ (star r) :=
   by
   letI := Invertible.star r
-  convert (rfl : star (⅟ r) = _)
+  convert(rfl : star (⅟ r) = _)
 #align star_inv_of star_invOf
 
 namespace MulOpposite

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

@@ -439,7 +439,7 @@ theorem star_intCast [Ring R] [StarRing R] (z : ℤ) : star (z : R) = z :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (r : Rat), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toHasStar.{u1} R (StarAddMonoid.toHasInvolutiveStar.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) ((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)))) r)) ((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)))) r)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (r : Rat), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (RatCast.ratCast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)) (RatCast.ratCast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)
+  forall {R : Type.{u1}} [_inst_1 : DivisionRing.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))] (r : Rat), Eq.{succ u1} R (Star.star.{u1} R (InvolutiveStar.toStar.{u1} R (StarAddMonoid.toInvolutiveStar.{u1} R (AddMonoidWithOne.toAddMonoid.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (DivisionRing.toRing.{u1} R _inst_1)))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalRing.toNonUnitalSemiring.{u1} R (Ring.toNonUnitalRing.{u1} R (DivisionRing.toRing.{u1} R _inst_1))) _inst_2))) (Rat.cast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)) (Rat.cast.{u1} R (DivisionRing.toRatCast.{u1} R _inst_1) r)
 Case conversion may be inaccurate. Consider using '#align star_rat_cast star_ratCastₓ'. -/
 @[simp, norm_cast]
 theorem star_ratCast [DivisionRing R] [StarRing R] (r : ℚ) : star (r : R) = r :=
@@ -482,7 +482,7 @@ scoped[ComplexConjugate] notation "conj" => starRingEnd hole!
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (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_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1)) _inst_2))) x)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (Star.star.{u1} R (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))) x)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (Star.star.{u1} R (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))) x)
 Case conversion may be inaccurate. Consider using '#align star_ring_end_apply starRingEnd_applyₓ'. -/
 /-- This is not a simp lemma, since we usually want simp to keep `star_ring_end` bundled.
  For example, for complex conjugation, we don't want simp to turn `conj x`
@@ -495,7 +495,7 @@ theorem starRingEnd_apply [CommSemiring R] [StarRing R] {x : R} : starRingEnd R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align star_ring_end_self_apply starRingEnd_self_applyₓ'. -/
 @[simp]
 theorem starRingEnd_self_apply [CommSemiring R] [StarRing R] (x : R) :
@@ -530,7 +530,7 @@ theorem RingHom.star_def {S : Type _} [NonAssocSemiring S] [CommSemiring R] [Sta
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : NonAssocSemiring.{u2} S] [_inst_2 : CommSemiring.{u1} R] [_inst_3 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_2))] (f : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (s : S), Eq.{succ u1} R (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (fun (_x : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (Star.star.{max u2 u1} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (InvolutiveStar.toHasStar.{max u2 u1} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (RingHom.involutiveStar.{u1, u2} R S _inst_1 _inst_2 _inst_3)) f) s) (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_2))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_2)) _inst_3))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (fun (_x : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) f s))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : NonAssocSemiring.{u1} S] [_inst_2 : CommSemiring.{u2} R] [_inst_3 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_2))] (f : RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (s : S), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) (Star.star.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (InvolutiveStar.toStar.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHom.involutiveStar.{u2, u1} R S _inst_1 _inst_2 _inst_3)) f) s) (Star.star.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (InvolutiveStar.toStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (StarAddMonoid.toInvolutiveStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (AddMonoidWithOne.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (NonAssocSemiring.toAddCommMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) _inst_2))))) (StarRing.toStarAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (CommSemiring.toNonUnitalCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) _inst_2)) _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) f s))
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : NonAssocSemiring.{u1} S] [_inst_2 : CommSemiring.{u2} R] [_inst_3 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_2))] (f : RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (s : S), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) (Star.star.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (InvolutiveStar.toStar.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHom.involutiveStar.{u2, u1} R S _inst_1 _inst_2 _inst_3)) f) s) (Star.star.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (InvolutiveStar.toStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (StarAddMonoid.toInvolutiveStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (AddMonoidWithOne.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (NonAssocSemiring.toAddCommMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) _inst_2))))) (StarRing.toStarAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) (CommSemiring.toNonUnitalCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) s) _inst_2)) _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) f s))
 Case conversion may be inaccurate. Consider using '#align ring_hom.star_apply RingHom.star_applyₓ'. -/
 theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) (s : S) : star f s = star (f s) :=
@@ -541,7 +541,7 @@ theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align complex.conj_conj Complex.conj_conjₓ'. -/
 -- A more convenient name for complex conjugation
 alias starRingEnd_self_apply ← Complex.conj_conj
@@ -551,7 +551,7 @@ alias starRingEnd_self_apply ← Complex.conj_conj
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align is_R_or_C.conj_conj IsROrC.conj_conjₓ'. -/
 alias starRingEnd_self_apply ← IsROrC.conj_conj
 #align is_R_or_C.conj_conj IsROrC.conj_conj

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

@@ -482,7 +482,7 @@ scoped[ComplexConjugate] notation "conj" => starRingEnd hole!
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (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_1))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1)) _inst_2))) x)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (Star.star.{u1} R (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))) x)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] {x : R}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x) (Star.star.{u1} R (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))) x)
 Case conversion may be inaccurate. Consider using '#align star_ring_end_apply starRingEnd_applyₓ'. -/
 /-- This is not a simp lemma, since we usually want simp to keep `star_ring_end` bundled.
  For example, for complex conjugation, we don't want simp to turn `conj x`
@@ -495,7 +495,7 @@ theorem starRingEnd_apply [CommSemiring R] [StarRing R] {x : R} : starRingEnd R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align star_ring_end_self_apply starRingEnd_self_applyₓ'. -/
 @[simp]
 theorem starRingEnd_self_apply [CommSemiring R] [StarRing R] (x : R) :
@@ -530,7 +530,7 @@ theorem RingHom.star_def {S : Type _} [NonAssocSemiring S] [CommSemiring R] [Sta
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : NonAssocSemiring.{u2} S] [_inst_2 : CommSemiring.{u1} R] [_inst_3 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_2))] (f : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (s : S), Eq.{succ u1} R (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (fun (_x : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (Star.star.{max u2 u1} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (InvolutiveStar.toHasStar.{max u2 u1} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (RingHom.involutiveStar.{u1, u2} R S _inst_1 _inst_2 _inst_3)) f) s) (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_2))))) (StarRing.toStarAddMonoid.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_2)) _inst_3))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) (fun (_x : RingHom.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) => S -> R) (RingHom.hasCoeToFun.{u2, u1} S R _inst_1 (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_2))) f s))
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : NonAssocSemiring.{u1} S] [_inst_2 : CommSemiring.{u2} R] [_inst_3 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_2))] (f : RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (s : S), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) (Star.star.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (InvolutiveStar.toStar.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHom.involutiveStar.{u2, u1} R S _inst_1 _inst_2 _inst_3)) f) s) (Star.star.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (InvolutiveStar.toStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (StarAddMonoid.toInvolutiveStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (AddMonoidWithOne.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (NonAssocSemiring.toAddCommMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) _inst_2))))) (StarRing.toStarAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) (CommSemiring.toNonUnitalCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) s) _inst_2)) _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) f s))
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : NonAssocSemiring.{u1} S] [_inst_2 : CommSemiring.{u2} R] [_inst_3 : StarRing.{u2} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} R (CommSemiring.toNonUnitalCommSemiring.{u2} R _inst_2))] (f : RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (s : S), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) (Star.star.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (InvolutiveStar.toStar.{max u2 u1} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHom.involutiveStar.{u2, u1} R S _inst_1 _inst_2 _inst_3)) f) s) (Star.star.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (InvolutiveStar.toStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (StarAddMonoid.toInvolutiveStar.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (AddMonoidWithOne.toAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (NonAssocSemiring.toAddCommMonoidWithOne.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) _inst_2))))) (StarRing.toStarAddMonoid.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (NonUnitalCommSemiring.toNonUnitalSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) (CommSemiring.toNonUnitalCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) s) _inst_2)) _inst_3))) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => R) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1)) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2))) S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} S R _inst_1 (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_2)))))) f s))
 Case conversion may be inaccurate. Consider using '#align ring_hom.star_apply RingHom.star_applyₓ'. -/
 theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
     (f : S →+* R) (s : S) : star f s = star (f s) :=
@@ -541,7 +541,7 @@ theorem RingHom.star_apply {S : Type _} [NonAssocSemiring S] [CommSemiring R] [S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align complex.conj_conj Complex.conj_conjₓ'. -/
 -- A more convenient name for complex conjugation
 alias starRingEnd_self_apply ← Complex.conj_conj
@@ -551,7 +551,7 @@ alias starRingEnd_self_apply ← Complex.conj_conj
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => R -> R) (RingHom.hasCoeToFun.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : StarRing.{u1} R (NonUnitalCommSemiring.toNonUnitalSemiring.{u1} R (CommSemiring.toNonUnitalCommSemiring.{u1} R _inst_1))] (x : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (starRingEnd.{u1} R _inst_1 _inst_2) x)) x
 Case conversion may be inaccurate. Consider using '#align is_R_or_C.conj_conj IsROrC.conj_conjₓ'. -/
 alias starRingEnd_self_apply ← IsROrC.conj_conj
 #align is_R_or_C.conj_conj IsROrC.conj_conj

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

Define the canonical coercion from the nonnegative rationals to any division semiring.

From LeanAPAP

@@ -351,6 +351,10 @@ theorem star_intCast [Ring R] [StarRing R] (z : ℤ) : star (z : R) = z :=
   (congr_arg unop <| map_intCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) z).trans (unop_intCast _)
 #align star_int_cast star_intCast
 
+@[simp, norm_cast]
+lemma star_nnratCast [DivisionSemiring R] [StarRing R] (q : ℚ≥0) : star (q : R) = q :=
+  (congr_arg unop <| map_nnratCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) q).trans (unop_nnratCast _)
+
 @[simp, norm_cast]
 theorem star_ratCast [DivisionRing R] [StarRing R] (r : ℚ) : star (r : R) = r :=
   (congr_arg unop <| map_ratCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) r).trans (unop_ratCast _)

by declaring them all in where style with implicit type assumptions and inst prefix

Here to reduce the diff from #11203

@@ -204,7 +204,7 @@ variable (R)
 
 @[simp]
 theorem star_one [MulOneClass R] [StarMul R] : star (1 : R) = 1 :=
-  op_injective <| (starMulEquiv : R ≃* Rᵐᵒᵖ).map_one.trans (op_one _).symm
+  op_injective <| (starMulEquiv : R ≃* Rᵐᵒᵖ).map_one.trans op_one.symm
 #align star_one star_one
 
 variable {R}

IsROrC contains data, which goes against the expectation that classes prefixed with Is are prop-valued. People have been complaining about this on and off, so this PR renames IsROrC to RCLike.

@@ -421,9 +421,9 @@ theorem RingHom.star_apply {S : Type*} [NonAssocSemiring S] (f : S →+* R) (s :
 alias Complex.conj_conj := starRingEnd_self_apply
 #align complex.conj_conj Complex.conj_conj
 
-alias IsROrC.conj_conj := starRingEnd_self_apply
+alias RCLike.conj_conj := starRingEnd_self_apply
 set_option linter.uppercaseLean3 false in
-#align is_R_or_C.conj_conj IsROrC.conj_conj
+#align is_R_or_C.conj_conj RCLike.conj_conj
 
 open scoped ComplexConjugate
 

Classifies by adding issue number #10756 to porting notes claiming anything equivalent to:

• "added theorem"
• "added theorems"
• "new theorem"
• "new theorems"
• "added lemma"
• "new lemma"
• "new lemmas"

@@ -338,7 +338,7 @@ theorem star_natCast [NonAssocSemiring R] [StarRing R] (n : ℕ) : star (n : R)
   (congr_arg unop (map_natCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) n)).trans (unop_natCast _)
 #align star_nat_cast star_natCast
 
--- Porting note: new theorem
+-- Porting note (#10756): new theorem
 @[simp]
 theorem star_ofNat [NonAssocSemiring R] [StarRing R] (n : ℕ) [n.AtLeastTwo] :
     star (no_index (OfNat.ofNat n) : R) = OfNat.ofNat n :=

Classifying by adding issue number #11119 to porting notes claiming anything semantically equivalent to:

• "@[simp] removed [...]"
• "@[simp] removed [...]"
• "removed simp attribute"

@@ -390,7 +390,7 @@ scoped[ComplexConjugate] notation "conj" => starRingEnd _
 theorem starRingEnd_apply (x : R) : starRingEnd R x = star x := rfl
 #align star_ring_end_apply starRingEnd_apply
 
-/- Porting note: removed `simp` attribute due to report by linter:
+/- Porting note (#11119): removed `simp` attribute due to report by linter:
 
 simp can prove this:
   by simp only [RingHomCompTriple.comp_apply, RingHom.id_apply]

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".

@@ -338,7 +338,7 @@ theorem star_natCast [NonAssocSemiring R] [StarRing R] (n : ℕ) : star (n : R)
   (congr_arg unop (map_natCast (starRingEquiv : R ≃+* Rᵐᵒᵖ) n)).trans (unop_natCast _)
 #align star_nat_cast star_natCast
 
---Porting note: new theorem
+-- Porting note: new theorem
 @[simp]
 theorem star_ofNat [NonAssocSemiring R] [StarRing R] (n : ℕ) [n.AtLeastTwo] :
     star (no_index (OfNat.ofNat n) : R) = OfNat.ofNat n :=

Also golf the existing instance for ℚ and rename Rat.num_nonneg_iff_zero_le to Rat.num_nonneg, Rat.num_pos_iff_pos to Rat.num_pos.

From LeanAPAP

@@ -9,9 +9,10 @@ import Mathlib.Algebra.Ring.Aut
 import Mathlib.Algebra.Ring.CompTypeclasses
 import Mathlib.Algebra.Field.Opposite
 import Mathlib.Algebra.Invertible.Defs
-import Mathlib.GroupTheory.GroupAction.Opposite
+import Mathlib.Data.NNRat.Defs
 import Mathlib.Data.Rat.Cast.Defs
 import Mathlib.Data.SetLike.Basic
+import Mathlib.GroupTheory.GroupAction.Opposite
 
 #align_import algebra.star.basic from "leanprover-community/mathlib"@"31c24aa72e7b3e5ed97a8412470e904f82b81004"
 
@@ -39,6 +40,7 @@ assert_not_exists Subgroup
 universe u v w
 
 open MulOpposite
+open scoped NNRat
 
 /-- Notation typeclass (with no default notation!) for an algebraic structure with a star operation.
 -/
@@ -473,9 +475,13 @@ def starRingOfComm {R : Type*} [CommSemiring R] : StarRing R :=
 #align star_ring_of_comm starRingOfComm
 
 instance Nat.instStarRing : StarRing ℕ := starRingOfComm
+instance Int.instStarRing : StarRing ℤ := starRingOfComm
 instance Rat.instStarRing : StarRing ℚ := starRingOfComm
+instance NNRat.instStarRing : StarRing ℚ≥0 := starRingOfComm
 instance Nat.instTrivialStar : TrivialStar ℕ := ⟨fun _ ↦ rfl⟩
+instance Int.instTrivialStar : TrivialStar ℤ := ⟨fun _ ↦ rfl⟩
 instance Rat.instTrivialStar : TrivialStar ℚ := ⟨fun _ ↦ rfl⟩
+instance NNRat.instTrivialStar : TrivialStar ℚ≥0 := ⟨fun _ ↦ rfl⟩
 
 /-- A star module `A` over a star ring `R` is a module which is a star add monoid,
 and the two star structures are compatible in the sense

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

@@ -65,7 +65,7 @@ class StarMemClass (S R : Type*) [Star R] [SetLike S R] : Prop where
 
 export StarMemClass (star_mem)
 
-attribute [aesop safe apply (rule_sets [SetLike])] star_mem
+attribute [aesop safe apply (rule_sets := [SetLike])] star_mem
 
 namespace StarMemClass
 

@@ -559,7 +559,7 @@ instance {A : Type*} [Star A] [SMul R A] [StarModule R A] : StarModule Rˣ A :=
 
 end Units
 
-theorem IsUnit.star [Monoid R] [StarMul R] {a : R} : IsUnit a → IsUnit (star a)
+protected theorem IsUnit.star [Monoid R] [StarMul R] {a : R} : IsUnit a → IsUnit (star a)
   | ⟨u, hu⟩ => ⟨Star.star u, hu ▸ rfl⟩
 #align is_unit.star IsUnit.star
 
@@ -576,7 +576,7 @@ theorem Ring.inverse_star [Semiring R] [StarRing R] (a : R) :
   rw [Ring.inverse_non_unit _ ha, Ring.inverse_non_unit _ (mt isUnit_star.mp ha), star_zero]
 #align ring.inverse_star Ring.inverse_star
 
-instance Invertible.star {R : Type*} [MulOneClass R] [StarMul R] (r : R) [Invertible r] :
+protected instance Invertible.star {R : Type*} [MulOneClass R] [StarMul R] (r : R) [Invertible r] :
     Invertible (star r) where
   invOf := Star.star (⅟ r)
   invOf_mul_self := by rw [← star_mul, mul_invOf_self, star_one]

The FunLike hierarchy is very big and gets scanned through each time we need a coercion (via the CoeFun instance). It looks like unbundled inheritance suits Lean 4 better here. The only class that still extends FunLike is EquivLike, since that has a custom coe_injective' field that is easier to implement. All other classes should take FunLike or EquivLike as a parameter.

Zulip thread

Important changes

Previously, morphism classes would be Type-valued and extend FunLike:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  extends FunLike F A B :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

After this PR, they should be Prop-valued and take FunLike as a parameter:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  [FunLike F A B] : Prop :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

(Note that A B stay marked as outParam even though they are not purely required to be so due to the FunLike parameter already filling them in. This is required to see through type synonyms, which is important in the category theory library. Also, I think keeping them as outParam is slightly faster.)

Similarly, MyEquivClass should take EquivLike as a parameter.

As a result, every mention of [MyHomClass F A B] should become [FunLike F A B] [MyHomClass F A B].

Remaining issues

Slower (failing) search

While overall this gives some great speedups, there are some cases that are noticeably slower. In particular, a failing application of a lemma such as map_mul is more expensive. This is due to suboptimal processing of arguments. For example:

variable [FunLike F M N] [Mul M] [Mul N] (f : F) (x : M) (y : M)

theorem map_mul [MulHomClass F M N] : f (x * y) = f x * f y

example [AddHomClass F A B] : f (x * y) = f x * f y := map_mul f _ _

Before this PR, applying map_mul f gives the goals [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Since M and N are out_params, [MulHomClass F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found.

After this PR, the goals become [FunLike F ?M ?N] [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Now [FunLike F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found, before trying MulHomClass F M N which fails. Since the Mul hierarchy is very big, this can be slow to fail, especially when there is no such Mul instance.

A long-term but harder to achieve solution would be to specify the order in which instance goals get solved. For example, we'd like to change the arguments to map_mul to look like [FunLike F M N] [Mul M] [Mul N] [highPriority <| MulHomClass F M N] because MulHomClass fails or succeeds much faster than the others.

As a consequence, the simpNF linter is much slower since by design it tries and fails to apply many map_ lemmas. The same issue occurs a few times in existing calls to simp [map_mul], where map_mul is tried "too soon" and fails. Thanks to the speedup of leanprover/lean4#2478 the impact is very limited, only in files that already were close to the timeout.

simp not firing sometimes

This affects map_smulₛₗ and related definitions. For simp lemmas Lean apparently uses a slightly different mechanism to find instances, so that rw can find every argument to map_smulₛₗ successfully but simp can't: leanprover/lean4#3701.

Missing instances due to unification failing

Especially in the category theory library, we might sometimes have a type A which is also accessible as a synonym (Bundled A hA).1. Instance synthesis doesn't always work if we have f : A →* B but x * y : (Bundled A hA).1 or vice versa. This seems to be mostly fixed by keeping A B as outParams in MulHomClass F A B. (Presumably because Lean will do a definitional check A =?= (Bundled A hA).1 instead of using the syntax in the discrimination tree.)

Workaround for issues

The timeouts can be worked around for now by specifying which map_mul we mean, either as map_mul f for some explicit f, or as e.g. MonoidHomClass.map_mul.

map_smulₛₗ not firing as simp lemma can be worked around by going back to the pre-FunLike situation and making LinearMap.map_smulₛₗ a simp lemma instead of the generic map_smulₛₗ. Writing simp [map_smulₛₗ _] also works.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -518,8 +518,8 @@ end RingHomInvPair
 section
 
 /-- `StarHomClass F R S` states that `F` is a type of `star`-preserving maps from `R` to `S`. -/
-class StarHomClass (F : Type*) (R S : outParam (Type*)) [Star R] [Star S] extends
-  DFunLike F R fun _ => S where
+class StarHomClass (F : Type*) (R S : outParam Type*) [Star R] [Star S] [FunLike F R S] : Prop
+  where
   /-- the maps preserve star -/
   map_star : ∀ (f : F) (r : R), f (star r) = star (f r)
 #align star_hom_class StarHomClass

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -7,6 +7,9 @@ import Mathlib.Algebra.Field.Opposite
 import Mathlib.Algebra.Invertible.Defs
 import Mathlib.Algebra.Ring.Aut
 import Mathlib.Algebra.Ring.CompTypeclasses
+import Mathlib.Algebra.Field.Opposite
+import Mathlib.Algebra.Invertible.Defs
+import Mathlib.GroupTheory.GroupAction.Opposite
 import Mathlib.Data.Rat.Cast.Defs
 import Mathlib.Data.SetLike.Basic
 

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -516,7 +516,7 @@ section
 
 /-- `StarHomClass F R S` states that `F` is a type of `star`-preserving maps from `R` to `S`. -/
 class StarHomClass (F : Type*) (R S : outParam (Type*)) [Star R] [Star S] extends
-  FunLike F R fun _ => S where
+  DFunLike F R fun _ => S where
   /-- the maps preserve star -/
   map_star : ∀ (f : F) (r : R), f (star r) = star (f r)
 #align star_hom_class StarHomClass

These lemmas can be proved much earlier with little to no change to their proofs.

Part of #9411

@@ -3,11 +3,11 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
+import Mathlib.Algebra.Field.Opposite
+import Mathlib.Algebra.Invertible.Defs
 import Mathlib.Algebra.Ring.Aut
 import Mathlib.Algebra.Ring.CompTypeclasses
-import Mathlib.Algebra.Field.Opposite
-import Mathlib.Data.Rat.Cast.CharZero
-import Mathlib.GroupTheory.GroupAction.Opposite
+import Mathlib.Data.Rat.Cast.Defs
 import Mathlib.Data.SetLike.Basic
 
 #align_import algebra.star.basic from "leanprover-community/mathlib"@"31c24aa72e7b3e5ed97a8412470e904f82b81004"

@@ -71,6 +71,8 @@ variable {S : Type w} [Star R] [SetLike S R] [hS : StarMemClass S R] (s : S)
 instance instStar : Star s where
   star r := ⟨star (r : R), star_mem r.prop⟩
 
+@[simp] lemma coe_star (x : s) : star x = star (x : R) := rfl
+
 end StarMemClass
 
 /-- Typeclass for a star operation with is involutive.

and other basic star lemmas

From LeanAPAP

@@ -351,10 +351,12 @@ theorem star_ratCast [DivisionRing R] [StarRing R] (r : ℚ) : star (r : R) = r
 
 end
 
+section CommSemiring
+variable [CommSemiring R] [StarRing R]
+
 /-- `star` as a ring automorphism, for commutative `R`. -/
 @[simps apply]
-def starRingAut [CommSemiring R] [StarRing R] : RingAut R :=
-  { starAddEquiv, starMulAut (R := R) with toFun := star }
+def starRingAut : RingAut R := { starAddEquiv, starMulAut (R := R) with toFun := star }
 #align star_ring_aut starRingAut
 #align star_ring_aut_apply starRingAut_apply
 
@@ -367,8 +369,7 @@ Note that this is the preferred form (over `starRingAut`, available under the sa
 because the notation `E →ₗ⋆[R] F` for an `R`-conjugate-linear map (short for
 `E →ₛₗ[starRingEnd R] F`) does not pretty-print if there is a coercion involved, as would be the
 case for `(↑starRingAut : R →* R)`. -/
-def starRingEnd [CommSemiring R] [StarRing R] : R →+* R :=
-  @starRingAut R _ _
+def starRingEnd : R →+* R := @starRingAut R _ _
 #align star_ring_end starRingEnd
 
 variable {R}
@@ -379,8 +380,7 @@ scoped[ComplexConjugate] notation "conj" => starRingEnd _
 /-- This is not a simp lemma, since we usually want simp to keep `starRingEnd` bundled.
  For example, for complex conjugation, we don't want simp to turn `conj x`
  into the bare function `star x` automatically since most lemmas are about `conj x`. -/
-theorem starRingEnd_apply [CommSemiring R] [StarRing R] {x : R} : starRingEnd R x = star x :=
-  rfl
+theorem starRingEnd_apply (x : R) : starRingEnd R x = star x := rfl
 #align star_ring_end_apply starRingEnd_apply
 
 /- Porting note: removed `simp` attribute due to report by linter:
@@ -391,13 +391,10 @@ One of the lemmas above could be a duplicate.
 If that's not the case try reordering lemmas or adding @[priority].
  -/
 -- @[simp]
-theorem starRingEnd_self_apply [CommSemiring R] [StarRing R] (x : R) :
-    starRingEnd R (starRingEnd R x) = x :=
-  star_star x
+theorem starRingEnd_self_apply (x : R) : starRingEnd R (starRingEnd R x) = x := star_star x
 #align star_ring_end_self_apply starRingEnd_self_apply
 
-instance RingHom.involutiveStar {S : Type*} [NonAssocSemiring S] [CommSemiring R] [StarRing R] :
-    InvolutiveStar (S →+* R) where
+instance RingHom.involutiveStar {S : Type*} [NonAssocSemiring S] : InvolutiveStar (S →+* R) where
   toStar := { star := fun f => RingHom.comp (starRingEnd R) f }
   star_involutive := by
     intro
@@ -405,14 +402,12 @@ instance RingHom.involutiveStar {S : Type*} [NonAssocSemiring S] [CommSemiring R
     simp only [RingHom.coe_comp, Function.comp_apply, starRingEnd_self_apply]
 #align ring_hom.has_involutive_star RingHom.involutiveStar
 
-theorem RingHom.star_def {S : Type*} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
-    (f : S →+* R) : Star.star f = RingHom.comp (starRingEnd R) f :=
-  rfl
+theorem RingHom.star_def {S : Type*} [NonAssocSemiring S] (f : S →+* R) :
+    Star.star f = RingHom.comp (starRingEnd R) f := rfl
 #align ring_hom.star_def RingHom.star_def
 
-theorem RingHom.star_apply {S : Type*} [NonAssocSemiring S] [CommSemiring R] [StarRing R]
-    (f : S →+* R) (s : S) : star f s = star (f s) :=
-  rfl
+theorem RingHom.star_apply {S : Type*} [NonAssocSemiring S] (f : S →+* R) (s : S) :
+    star f s = star (f s) := rfl
 #align ring_hom.star_apply RingHom.star_apply
 
 -- A more convenient name for complex conjugation
@@ -423,6 +418,12 @@ alias IsROrC.conj_conj := starRingEnd_self_apply
 set_option linter.uppercaseLean3 false in
 #align is_R_or_C.conj_conj IsROrC.conj_conj
 
+open scoped ComplexConjugate
+
+@[simp] lemma conj_trivial [TrivialStar R] (a : R) : conj a = a := star_trivial _
+
+end CommSemiring
+
 @[simp]
 theorem star_inv' [DivisionSemiring R] [StarRing R] (x : R) : star x⁻¹ = (star x)⁻¹ :=
   op_injective <| (map_inv₀ (starRingEquiv : R ≃+* Rᵐᵒᵖ) x).trans (op_inv (star x)).symm
@@ -466,6 +467,11 @@ def starRingOfComm {R : Type*} [CommSemiring R] : StarRing R :=
     star_add := fun _ _ => rfl }
 #align star_ring_of_comm starRingOfComm
 
+instance Nat.instStarRing : StarRing ℕ := starRingOfComm
+instance Rat.instStarRing : StarRing ℚ := starRingOfComm
+instance Nat.instTrivialStar : TrivialStar ℕ := ⟨fun _ ↦ rfl⟩
+instance Rat.instTrivialStar : TrivialStar ℚ := ⟨fun _ ↦ rfl⟩
+
 /-- A star module `A` over a star ring `R` is a module which is a star add monoid,
 and the two star structures are compatible in the sense
 `star (r • a) = star r • star a`.
@@ -492,6 +498,9 @@ instance StarMul.toStarModule [CommMonoid R] [StarMul R] : StarModule R R :=
   ⟨star_mul'⟩
 #align star_semigroup.to_star_module StarMul.toStarModule
 
+instance StarAddMonoid.toStarModuleNat {α} [AddCommMonoid α] [StarAddMonoid α] : StarModule ℕ α :=
+  ⟨fun n a ↦ by rw [star_nsmul, star_trivial n]⟩
+
 namespace RingHomInvPair
 
 /-- Instance needed to define star-linear maps over a commutative star ring